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(337) b_QSvBG Ps U \ ~t^ DFE4GBHNINR6o IJQ_W2R Z\Q2vBR o E
(338) T
(339) QSvKcOBQSRUT
(340) QT4RUTvBRUQ_TwilRUb_klG3KcbSvPE
(341) T T4RfZ
(342) R£Q_TfINGPY o GBZ\QSR vBR E
(343) T4vKcOBQSRUT
(344) Q3|^tns ul 6HJQIJYLKcIJILK[Z\QvBR o E
(345) T
(346) QSvKcOBQSRUT
(347) Q¹W
(348) YNRilGPT
(349) QSGPTfIJQ{Z4K»E
(350) T T4RZ
(351) RyGZ
(352) G^m • o HJIJQ_T0KcINGyKVIJE
(353) IJIJQ³kab_QFKcb_IJYJQe ¶ KcILKVbhKVT0KcIJE
(354) YLKZ
(355) GPb_bhKvBR o E
(356) T
(357) QSvKcOBQSRUT4Ga`¹T4RUT %W
(358) YNGPifQSHJINR´E
(359) T o GBvBvKcT
(360) QSH o RZ\QrKU
(361) v fT4R ³bSGBZ\klG o GPTwI vBR E
(362) T
(363) QSvKcOBQSRUT
(364) Qprqsatnu2HJQ IJYLKcIJILKVZ\Q³vBR o E
(365) T
(366) QSvKcOBQSRUT
(367) QXQ_T4Z\Q_YNGPIJINGIJYLK[E
(368) TgT4RZ
(369) RVGbedjKcb_IJYNR
(370) ` • o IJYLK o Q_ING6bed E4HLRZ
(371) GPQ o GBvBvKcT
(372) QSH o QrW
(373) YNGPiQSHJIJQZ4KcbrW
(374) YNRUINRvBRUb_bSRgprq\sUtnu2 "rGPYJILKcTfINR
(375) `¢wE4GBHJINRIJQ_W5R Z\Q¡vBR o E
(376) T
(377) QSvKcOBQSRUT
(378) QW
(379) E vBRUQ_TwilRUb_klGPYNG E
(380) T4RRW
(381) Q_®¸T4RZ\Q¡Q_TwINGPY o GBZ ºfQ¹RaHNHNGPYJiQªvN4Ga`HLRUbSR[T4GPb{vKUHNR[Z\Q¹vBR o E
(382) T
(383) QSvKcOBQSRUT
(384) Q |^tJs uw `T4RUT %W2RaHNHJQ_
(385) Q_bSGW
(386) YNRUklGPIJILKcYNGE
(387) T o GBvBvKcT
(388) QSH o RZ\Q¡IJYLKUH o QSHNHNQSRUT4G3K Z4Kc
(389) Q_bSGa . . . . . . .
(390) . . . . . !.'5. $&% $&%$. 4 . 4 0?0*95>*. *-AC*.. {RUT4HJQSZ
(391) GPYJQhK o RQ_T
(392) Q_OBQhKcb o GPTwING¯Q_b¡vKUHLR;Z\Q¡vBR o E
(393) T
(394) QSvKcOBQSRUT
(395) Qªz4~ &Q_Ty¢fE4GBHJINR£vKUHNR£Q_b o RfZ
(396) GPb_bSRZ\Q HNGPYJiQ_OBQSR %»KZ4Kc
(397) Q_bSGGW
(398) E [GBHNHNGPYNGYNGKcb_Q_OBO KcINR[IJYLK o Q_INGE
(399) TMHNG o W
(400) b_QSvBGE
(401) IJQ_b_Q_OBOR>Z\Q o GBHNHLKckakaQ Z\Q KU
(402) v fT4R ³bSGBZ\klG o GPTwI GBZ\Qw]4kaE
(403) YLKX¦\j§ ¶ KcINRFvN4G QlT4RZ\QfvBRUQ_TwilRUb_IJQ\HNRUT4RFHNRUbSR¢fE4GPb_b_QwQ_TwINGPYNGBHLHLKcIJQ\Kcb_bhK #. . Generic message. Correct transmission. D. D. Acknowledgement. Generic message. Generic message. D. D. D. D. Lost acknowledgement. X Acknowledgement. Acknowledgement. Generic message. Generic message. X D. D. D. D. Lost packet. ² Q_kaE
(404) YLK¦\j§\#{R o E
(405) T
(406) QSvKcOBQSRUT
(407) Q{z4~ vBR o E
(408) T
(409) QSvKcOBQSRUT4Ga`fQ\IJQ o GBRUE
(410) INHZ\Q\YJQ_IJYLKUH o QSHLHJQSRUT4G³HLKcYLKcT
(411) T4R¯vKcb_Q_
(412) YLKcIJQ0HJE
(413) b\ING o W2R)Z\Q4vBR o E
(414) T
(415) QSvKcOBQSRUT4G sa~ #{ RU T4sUHJ QSZ
(416) sUGP~YJ Qh K R$RUYLK Q_b£vKUHLR Z\QvBR E
(417) T
(418) QSvKcOBQSRUT
(419) QV|^tJs ul Q_T ¢fE4GBHJINR vKUHNR Q_b RfZ
(420) GPb_bSR Z\Q3HNGPYJiQ_OBQSR sUo KZ4Kc
(421) Q_bSG G´W2GPYJILKco TwINRILKcbSG o RZ
(422) GPb_bSR Z
(423) GPil G GBHNHNGPYNGKUZ
(424) RUIJILKcINR Q_T o o KcT
(425) QSGPYLK YJQSZ
(426) RUT4Z4KcTfINGa #{RUT4HJQSZ
(427) GPYJQhK o R
(428) `Q_T\]4T4Ga`ªQ_b¹vKUHLRVZ\Q³vBR o E
(429) T
(430) QSvKcOBQSRUT
(431) QprqsUtJu2Z4KcINRvL4G»ILKcb_QvBR o E
(432) T
(433) QSvKcOBQSRUT
(434) Q vBRUQ_TfilRUb_klRUT4RMKcT4vN4GVq\s Q_TwINGPY GBZ `{RfvBvBRUYJYNGE
(435) T GBvBvKcT
(436) QSH RZ\QKUv T4R ³bSGBZ\klG GPTfI ^q\ IJYLKE
(437) T@qs G[bedjKcb_IJYNR
(438) @ © T4RUb_IJYNGao `³RvBvBRUYJYNG>E
(439) T o GBvBvo KcT
(440) QSH o RgZ\o Q.KU
(441) v fT4R ³bSGBZ\klG o GPTwI¸o IJYLKQ T4RfZ\Q o Q_IJINGPTfING¸GYJQSvBGPilGPTfINGa`Q_T¢wE0KcTfINR
(442) `T4GPb_bhK[vKcINGPT0KVZ\QFqs l`E
(443) TgT4RZ
(444) R[W2RUIJYNGP
(445) 5G»vKUZ
(446) GPYNGGT4RUT Acknowledgement.
(447) «
(448) !
(449) !
(450) GBHNHNGPYNGQ_T kaYLKUZ
(451) RyZ\QQ_TfifQhKcYNGQ_b GBHNHLKckakaQSRVKcb_bedqs HJE4vBvBGBHNHJQ_ilR
(452) GBZ\Q]4kaE
(453) YLKy¦\ djKZ4Kc
(454) Q_b_Q_IL± ilGPYJYL±)K Z4KcILK¯KUZ6E
(455) T o GBvBvKcT
(456) QSH o o R¯Z\Q
(457) HJILKUv
(458) 6vN4G¹YL KUvBvBRUkab_QSGPYL±.IJE
(459) IJIJQ\Q o GBHNHLKckakaQ\Q_TwiQhKcIJQe`aQ_TKcIJINGBHLK Z
(460) GPb_bhK³YJQSvBGPOBQSRUT4G Z
(461) GPbfvBRUYJYJQSHJW2RUT4Z
(462) GPTwING¹KUv T4R ³bSGBZ\klG GPTfI°wQ_T vKUHNRZ\QlIJQ GBRUE
(463) I`cQ_b GBHLHLKckakaQSR³ilGPYJYL± Q_TwiQhKcINR£TwE4R iUK o GPTfINGa`4]4T4RKUZ»E
(464) T¸TfE o GPYNR o KUHNHJQ oo R£Z\QilRUb_INGa"GPY o o KckakaQSRUYJQZ
(465) o GPIJILKckab_Qe`
(466) HJQ2ilGBZ4K bhK£HNGPOBQSRUT4G6§\ . forward message. Generic message. D. D. forward message D. forward message. ack. forward message. D. D ack. ack. final acknowledgement. ack. ²Q_kaE
(467) YLK¦\ #{R o E
(468) T
(469) QSvKcOBQSRUT
(470) Q¯prqsUtJu. )' ( 4-0/;1# : 8 :'<¸: :'X- ;:<N<
(471) £7 8;:<N<N:! L7 FkaT
(472) Q.ilRUb_ILK vN4GVHJQFilGPYJQ ]0vK E
(473) T GPilGPTwINR
(474) `GBHLHNR W2RUIJYNGP
(475) 5G~5P}¬z
(476) uw^tN Kcb_IJYJQ)GPilGPTwIJQ)Z\QFvPE
(477) Q)HNRUT4R W
(478) YNGBHNGPTfIJQZ
(479) GPb_bSG HNRUIJINRaHNvPYJQ_OBQSRUT
(480) Qe KHNIJYLKcINGPkaQhKZ
(481) GPb_bSR¯q Lq`UvBRaH.vBR o G{KcW
(482) W0KcYNGT4GPb&prqsUtJu2`µT4RUT;vPQ % Z\QkaYNRaHNHNR)KcQ_E
(483) INR
(484) `aQ_T;¢fE0KcTwINR)GBHNHLRFGPYLK o Q_YLKcINR¯KUZ6QSZ
(485) GPTfIJQ ]0vKcYNG³E
(486) T
(487) Q_ilRvK o GPTwING³Z
(488) GPb_bSG{YJQSHNRUYNHNG o GBHNHNG K>Z\QSHJW5RaHNQ_OBQSRUT4G»Z4K>vPQhKUHNvPE
(489) TT4RZ
(490) R
(491) ¶ djKcb_IJYNR´vKcTwINR
(492) `ªbSGW2RUINGPT
(493) OBQhKcb_Q_IL±´GBHJW
(494) YNGBHNHNQ_ilGZ\Q{E
(495) T GPilGPTwINR psU P BNu¸W
(496) YNGBHJE
(497) W
(498) W2RUT
(499) klRUT4RE
(500) T0K0GBHLHJQ_
(501) Q_b_Q_IL±£ILKcbSG3Z4K;YNGPT4Z
(502) GPYNG GBHJIJYNG o K o GPTwING;Z\Q vBRUb_INRaHNR Q_T4Z\Q_i QSZ\E0 KcYNG3 W
(503) YNRUW
(504) YJQSGPIL±Z\Q¡Q_T4vPb_E4HNQSRUT4G¯IJYLKGPilGPTwIJQe © T ¢wE4GBHNINR´W0KcYLKckaYLK R vBGPYNvL4GPYNG o RMZ\Q³YJQSZ\E
(505) YJYNGyILKcb_QW5RUINGPT
(506) OBQhKcb_Q_IL± GBHJW
(507) YNGBHNHJQ_ilGa`{vBGPYNvKcT4Z
(508) RMKcb vBRUTwING o W2RVE
(509) T0K[HLRUb_E
(510) OBQSRUT4GRUIJIJQ o KcbSG»W2GPY W
(511) YNGBHNGPYJiaKcYNGT4GPb_bhK E
(512) T
(513) OBQSRUT4GZ\QFq +q bSGW
(514) YNRUW
(515) YJQSGPIL±VZ\Q Q_T4vPb_E4HJQSRUT4G3Z
(516) GPkab_QrGPilGPTwIJQe . $&%'%(. . = .&57; AC*.3= 4. KFT4RaHJIJYLK.HNRUb_E
(517) OBQSRUT4G³HJQ RfvKcb_Q_OBO K.HNRUbSR¯Kcb\vKUHNR)Z\Q5z t^~ |P~}SGBZ %{b_Q Q_ILKcILK¯Kcb_bhK.HNRUIJINRaHNvPYJQ_OBQSRcm T4G;Z\QGPilGPTfIJQ&vL4G6b_Q o Q_ILKcT4R»Q_biUKcbSRUYNG;Z\QILKcbSG iaKcYJQhKc
(518) Q_bSG µ u» zfMLs \a o sa"GPYJILKcTwINRE
(519) T´GPilGPTwINR klGPT4GPYJQSvBR´T4GPb_bhK>iUKcYJQhKc
(520) Q_bSG x H+KcYL±[Z
(521) GPb¹IJQ_W2R a ≤ x ≤ b ° vBRUT ¢fE4GBHJINGb_Q o Q_ILKcOBQSRUT
(522) QXvBGPYNvN4GPYNG o R Z\Q³YNGPT4Z
(523) GPYNG¸Q_T ¢fE0KcbSvN4G o RZ
(524) R´W
(525) Q_® G vPQSGPTwING[bhK´HNRUIJINRaHNvPYJQ_OBQSRUT4GyZ
(526) GPkab_QGPilGPTfIJQT4GPbprqsUtJu2© T klGPT4GPYLKcbSGa`
(527) vPQ T4RUT %Fb_Q o Q_ILKcTwINGa`
(528) Q_T¢fE0KcTwINR %FHLG o W
(529) YNGXW2RaHNHJQ_
(530) Q_bSG)KUHNHNGPkaT0KcYNG)K3W0KcYJING)Z
(531) GPb_bSR£HJW0KcOBQSR Z
(532) GPb_bSGvL
(533) QhKBiQªE
(534) TMQ_T4HJQSG o GZ\Q
(535) Q_INH Z4KyZ
(536) GBZ\QSvKcYNG»Kcb_bed QSZ
(537) GPTwIJQ ]0vKcOBQSRUT4G¸Z
(538) GPb_bhK¸iaKcYJQhKc
(539) Q_bSGZ
(540) GPb_bedGPilGPTfINR Q_TwINGPYNGBHLHLKcINR
(541) . . $&%'%$. . ,7,. . .'8 8 *.<4. . ,/.3=>4 = AC*@B04. fº QHJE
(542) W
(543) W2RUT
(544) kwK´Z\QZ\QSHJW2RUYJYNG¸Z\Q³E
(545) T0KViUKcYJQhKc
(546) Q_bSG t `Q_b³vPE
(547) QXZ
(548) R o Q_T
(549) QSR %¸Z\QXK o W
(550) QSGPOBO K L °¹Q_T4RUb_IJYNG¸HJQ HJE
(551) W
(552) W2RUT
(553) kwK Z\QFKUHLHNGPkaT0KcYNG m
(554) Q_INHKcb_bSR q Lq@ ºfE
(555) W
(556) W2RUT
(557) QhK o RgRUYLK Z\QFZ\Q_iQSZ
(558) GPYNGybed Q_TfINGPYJiUKcb_bSRgZ\Q K o W
(559) QSGPOBO K L K o GPIL±£Q_T o KcT
(560) QSGPYLKYJQSvBRUYNHJQ_iaK\`KUHNHNGPkaT0KcT4Z
(561) RRUkaTwE
(562) T4R»Z
(563) GPQHNGPk o GPTwIJQ_T
(564) Q&vN4G o KcT4RK o KcT4RHJQ¡RUIJINGPT
(565) klRUT4R»KUZE
(566) T4RZ
(567) GPkab_Q¡QSZ
(568) GPTfIJQ ]0vKcIJQ_ifQZ
(569) GPb_bSRHJW0KcOBQSRZ
(570) GPb_bSRq Lq ¥ ilGBZ\Q¡]4kaE
(571) YLK¦\ ¨^ © T ¢fE4GBHJINR RZ
(572) R
(573) `URUkaT
(574) QfQ_TfINGPYJiUKcb_bSR)vBR W
(575) YNGBHNRFIJYLK FGBZ HLKcYL±XHNG W
(576) YNG¹KUHNHNRvPQhKc
(577) Q_bSG KUZ E
(578) T HNRUbSR QSZ
(579) GPTwIJQ ]0vKcIJQ_ilRo Kcb_bed Q_TwINGPYJT4RZ
(580) GPb_bSR£HJW0KcOBQSR£Z
(581) o GPkab_Q&q +q2°IJYLKUZ
(582) RUIJINR£Q_T»INGPo Y o Q_T
(583) Q¡Z\Q2T4RfZ\QZ
(584) GPbX~f5` u.
(585) . . . . . . . . . . «. L. 2^m. [L/4..L/2]. L/2. [0..L/4]. [L/2..L] [0..L/2]. L/4. [0..L] 0 Spazio delle chiavi 0. ²Q_kaE
(586) YLK¦\ ¶ Q_ifQSHNQSRUT4G¯Z
(587) GPbZ
(588) R o Q_T
(589) QSRZ
(590) GPb_bhK£iaKcYJQhKc
(591) Q_bSG. t. sNa4~~ ^t }} sPs sUPPt^~ s ^t¯} t^~ |P~}S ^t^t ¸LsU sz[BsU} ssuwsa #
(592) QhKcYLK GPT\m NI Ga`¡¢fE4GBHJ ILK»µHN RUb_E
(593) OBQSRU T4 G£0K bSRHJ iaKcTwILKckaµka QSR¸ Z\Q&YNGPT4t Z
(594) GP YNG£W
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(600) bhK;W
(601) E
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(605) TyGPilGPTwINRvL4G¯YJQ_W5RUYJILKE
(606) T¸Q_TwINGPYJiaKcb_bSRW5GPY³bhK;iaKcYJQhKc
(607) Q_bSG YJQSvN
(608) QSGBZ
(609) G bed Q_TfifQSR£Z\Q5ILKcbSGXW
(610) E
(611)
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(614) .Psas +PsP~ a ~~ ^t c }}~t ^q\3LsU4 vL4^G;lvPsUQhKUs´HLvPE
(615) } T4~ R» PZ\t Q&µILKc}}_b_s QT4 Rfz4Z\|Q|^}YJ~ QS vBlGP ias4K°{Q_vNTf
(616) INQhGPKcYLYJK Q_YNG o GPTwR´INGQ_TbedGPHNilGPGPkaTfE
(617) INQ_R
(618) INR>`¡Kc¢fbE4]4GBT4HJING R>Z\W
(619) QE
(620) W5TwRUININR
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(622) G Q_b_%Q_YNG£YJQSvNGB
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(624) YNGYNRUbhW
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(626) T GPilYNGPRUTfTfININR G»% Z\Q{E
(627) T¡ILKcd Q_bST G» RUHJY iUKcTfKcILOBKcQSRUkaT4kaQSGR´Z\RfQvBHJvBILRUKcYJINYNR
(628) G`2W5bhKGPY W
(629) VE
(630) vB
(631) RU
(632) T4b_QSHJvQSKcZ
(633) OBGPQSYLRUKcT4YNGG T4RUTbSo R %XGFW5GPYJILKcTfINR %F2GPT4GXW
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(636) T0KHLRUIJINRaHNvPYJQ_OBQSRUT4G3W2RUIJYNGP
(637) 5G¯HNQ_kaT
(638) Q ]0vKcYNG3W2GPYNZ
(639) GPYNG6KcbSvPE
(640) T4G¯W
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(642)
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(646) YLK¯¦\ Z
(647) GPINGPY o Q_T0K3E
(648) T¡djK o W
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(653) W
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(658) "rFGPYJb_ILbSRUKcYLTfK\IN`5RMILKcQ_bXbSG TwEQ_TfINGPGPYJYNiURgKcb_vBbSRR iW
(659) QSGPbST4GBHNG£HJQ_Z\ilQ_RifQSHLZ\R Q « o o 2 2 Q_TfINGPYJiUKcb_b_Q%)W0KcYJQrK\ 2
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(661) b_IJQ KgZ\Q_iQSHJQSRUT4G[HNE
(662)
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(664) `FGBHNHNRvBRUYJYJQSHNW5RUT4Z
(665) G´KcbFTfE GPYNRMZ\Q Q_TfINGPYJiUKcb_b_Q&T42GPQr¢fE0Kcb_Qbed oQ_TfINGPYJiUKcb_bSRZ\Qrb_E
(666) T
(667) ka4GPOBO K ilGPYJYL±Z\Q_iQSHNR
(668) FYLK\`W5GPY.vBR o G E
(669) T
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(671) `RUkaT
(672) QZ\Q_iQSHJQSRUT4GvPYNGK)E
(673) TvBGPYJINR3TwE o GPYNR Z\Q4Q_TwINGPYJiaKcb_b_QvL4GilGPT
(674) klRUT4R;KUHNHNGPkaT0KcIJQ0vPQhKUHNvPE
(675) T4R KUZE
(676) TQSZ
(677) GPTwIJQ ]0vKcIJQ_ilRZ
(678) GPb_bSRHJW0KcOBQSRZ
(679) GPkab_Q&q +qV "GPYJILKcTwINR
(680) `HNG HNRUT4R;Q2
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(683) b_bhK0KUHNG6Z\Q p X. 2k. k=0. p. . m. . p. 2·L 2m +1.
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(685) ¢fE0KcTwINRZ
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(692) GPkab_Q¡Q_TwINGPYJiaKcb_b_Qe`0HJQKifYNGP
(693) 2G3vL4Ga. !
(694) !
(695) . L 2p. ¥ ¦\ « l¨ vN4Ga`&vBRUT YNRUTwILKcINRVvBRUTbhKy¦\ `rYJQSHJE
(696) b_ILKyQ_T GPYJQSRUYNGGW5GPYJILKcTfINR[bhK¸YJQSHNRUb_E
(697) OBQSRUT4GRUIJINGPTfE
(698) ILK[H+KcYNGP
(699) 5G o Q_kab_QSRUYNGa°IJE
(700) IJILKifQhK ¢wE4GBHJINR KcW
(701) W
(702) YNRvBvPQSR HNR2YNG¸Z
(703) GPb eKcIJINRvN4GVKcT4vN4G¸bSGyHLRUIJINRaHNvPYJQ_OBQSRUT
(704) QXZ
(705) GPilRUT4R GBHNHNGPYNG¹Q_TfifQhKcING.K)W
(706) Q_®T4RZ\Qe`wvBRUTvBRUT4HLGPkaE4GPTwING)KcW
(707) W5GBHLKcTfIJQ GPTwINR;Z
(708) GPb_bedjKcb_klRUYJQ_I o R GBZQ_b
(709) YJQSHNvN
(710) QSR vN4G Q_b&+z4|+BPt+~e|N^t YJQSvBGPiUK£Z\E
(711) W
(712) b_QSvKcIJQZ
(713) GPb_bSRHJINGBHNHNRGPilGPTfINR
(714) o #{RUT YNRUTwIJQhK o RbedjKcW
(715) W
(716) YNRvBvPQSRGBHNW5RUT4GPT
(717) OBQhKcbSG3Z4KT4RUQ¡W
(718) YNRUW5RaHNINRvBRUT[¢wE4GPb_bSRb_Q_T4GKcYNGa d=. . L 2m. . .
(719)
(720) . #{RUT4HJQSZ
(721) GPYJQhK o R;Q_T
(722) Q_OBQhKcb o GPTwING.Q_b5TwE o GPYNR;Z\Q o GBHLHLKckakaQZ\Q5W
(723) E
(724)
(725)
(726) b_QSvKcOBQSRUT4G.T4GBvBGBHNHLKcYJQSR W5GPY bhK¯W
(727) E
(728) \m
(729) b_QSvKcOBQSRUT4G£Z\QrE
(730) T´GPilGPTwINR
(731) · GPbrvKUHNR»Z\QE
(732) T´KcW
(733) W
(734) YNRvBvPQSRb_Q_T4GKcYNGa`2T4GPb&vKUHNRZ\QrE
(735) T´GPilGPTwINRZ\QIJQ_W5R W
(736) E
(737) TwIJE0KcbSGa` % YJQSvN
(738) QSGBHJINR»HNRUbSRE
(739) T o GBHNH+KckakaQSRZ\QW
(740) E
(741)
(742)
(743) b_QSvKcOBQSRUT4G;Z
(744) GBHNIJQ_T0KcINR»KcbrT4RfZ
(745) RKUHNHNRvPQhKcINRKcb m bed Q_TwINGPYJiaKcb_bSR¸Zd Q_TwINGPYNGBHLHNGa · GPbvKUHNRZ
(746) GPb_bedjKcW
(747) W
(748) YNRvBvPQSR¸GBHJW2RUT4GPT
(749) OBQhKcbSGa`2Q_TwilGBvBGa`ILKcbSG;TwE o GPYNR % W0KcYJQ K\. k = log2 (2m + 1). ¥ ¦\ «a« ¨. Bv RUT m =TfE o GPYNRZ\Q¡
(750) Q_IZ4KZ
(751) GBZ\QSvKcYNG;Kcb_bSRHJW0KcOBQSRZ
(752) GPkab_Q¡QSZ
(753) GPTfIJQ ]0vKcIJQ_ifQe ¶ Q o RaHJIJYJQhK o R3bhK6¦\ «a« HLG %³Q_b0Z
(754) R o Q_T
(755) QSR Z
(756) GPb_bhK¯iaKcYJQhKc
(757) Q_bSGZ\Q4Q_TfINGPYNGBHNHNGa`RUkaT
(758) Q0ilRUb_ILK¯vL4GQ_TwiQhK o R E
(759) T o GBHNHLKckakaQSR6Z\Q
(760) W
(761) E
(762)
(763)
(764) b_QSvKcOBQSRUT4Ga`wYJQSZ\E4vPQhK o R3Z
(765) GPb_bhK o GPIL±.ILKcbSGZ
(766) R o Q_T
(767) QSR
(768) `a]4T4R3KUZKcYJYJQ_iaKcYNGKcb_bed Q_T\m INGPYJiaKcb_bSR Z\Q2Z\Q o GPT4HJQSRUT4G d vBRUTfINGPT4GPTwING¯Q_biUKcbSRUYNGFW
(769) E
(770) TwIJE0KcbSG.W
(771) E
(772)
(773)
(774) b_QSvKcINR
(775) "rGPYJILKcTfINR
(776) `\W
(777) YJQ o K6iQSGPT4G vBRUTwILKcIJILKcINR£Q_b2T4RZ
(778) R\`\vBRUYJYJQSHJW2RUT4Z
(779) GPTwING3K IJE
(780) IJINR;bed Q_TwINGPYJiaKcb_bSRZ\QK o W
(781) QSGPOBO K `W5RUQ5Q_b2T4RfZ
(782) R « R¦\` vBRUT¸vBRUT4HNGPkaE4GPTwING6Z\Q_ifQSHJQSRUT4G.W2GPY¹¦;Z
(783) GPb_bed Q_TfINGPYJiUKcb_bSRRUYJQ_kaQ_T0KcYJQSR
(784) `
(785) G)vBRaH ifQhK\ #{R o W
(786) bSGBHLHJQ_iUK o GPTfINGa` HNG k HNRUT4R¸QT4RZ\QªvBRUTfILKcIJILKcIJQe`rbed Q_TfINGPYJiUKcb_bSR>Z\QªK o W
(787) QSGPOBO K L ilGPYJYL±yZ\Q_iQSHNRyK o GPIL± k − 1 ilRUb_INGa` ]4T4RK;YLKckakaQ_E
(788) T
(789) klGPYNG6E
(790) TyQ_TwINGPYJiaKcb_bSRZ\QK o W
(791) QSGPOBO K d 'Xb_bSRUYLKHJQ0K\ L·. 1 k−1 2. =d. ¥ ¦\ « ¦l¨. {RUT YNRUTwILKcT4Z
(792) RbhK¦\ « ¦vBRUTybhK¦\ `4HNQ¡RUIJIJQSGPT4G¯bhK¦\ «a« © bkaYLKµ]0vBR¦\ RaHJIJYLK;bedjKcT4Z4K GPTfINRZ
(793) GPb¡TfE GPYNRZ\QW
(794) E
(795)
(796)
(797) b_QSvKcOBQSRUT
(798) QrT4GBvBGBHNHLKcYJQSRW2GPY³W
(799) E
(800)
(801)
(802) b_QSvKcYNG E
(803) TGPilGPTwINR¯W
(804) E
(805) Tfo IJE0KcbSGXKcb\iUKcYJQhKcYNo G³Z
(806) GPb\TfE o GPYNR3o Z\Q\
(807) Q_I&Z
(808) GBZ\QSvKcINR Kcb_bSR.HNW0KcOBQSR¯Z
(809) GPkab_QQSZ
(810) GPTfIJQ ]0vKcIJQ_ifQe°Q_T ¢fE4GBHJINRFvKUHLRFbedjKcW
(811) W
(812) YNRvBvPQSR¯GBHJW2RUT4GPT
(813) OBQhKcbSG³HJQYJQ_ilGPbhKFHNiUKcTfILKckakaQSRaHNR
(814) `aQ_T¢wE0KcTfINR)YJQSvN
(815) QSGBZ
(816) G¹E
(817) T o KckakaQSRUY TwE o GPYNRZ\Q o GBHNHLKckakaQe #. .
(818) . . . . . . . . . . ¦«. 18 Exp Lin 16. 14. 12. 10. 8. 6. 4. 2. 0. ²Q_kaE
(819) YLK¦\ · E o GPYNRZ\Q o GBHNHLKckakaQ¡Z\Q2W
(820) E
(821)
(822)
(823) b_QSvKcOBQSRUT4G3Q_T E
(824) T
(825) OBQSRUT4G¯Z\Q m " E
(826)
(827)
(828) b_QSvKcOBQSRUT4G6Z\Q2E
(829) T GPilGPTfINRW
(830) E
(831) TwIJE0KcbSG 2. 4. 6. 8. 10. 12. 14. 16. {RUT4HJQSZ
(832) GPYJQhK o RFRUYLKQ_bfvKUHNRFZ
(833) GPb_bhK³W
(834) E
(835)
(836)
(837) b_QSvKcOBQSRUT4G¹Z\QwE
(838) T;GPilGPTwINRFklGPT4GPYJQSvBR
(839) `aZ
(840) GPbwIJQ_W2R a ≤ x ≤ b ° KILKcbrW
(841) YNRUW2RaHJQ_INRQ_T4Z\QSvN4GPYNG o R¸vBRUT .ºfE
(842) W
(843) W2RUT
(844) QhK o R»vL4G G eKUvBvPQhK o R»iUKcYJQhKcYNG ` R ifilGPYNR£Q_T¸¢fE4GBHJINR£vKUHNR b `
(845) KcT0Kcb_Q_OBO KcT4l Z
(846) ,RbQ_b2−TwE ao GPYNRZ\Q o GBHNHLKckakaQ2YJQSvLa
(847) QS=GBHJ0IJQW5GPY{bhK W
(848) E
(849)
(850)
(851) b_QSvKcOBQSRUT4lG Z
(852) GPb_bedGPilGPTfINR
(853) GPb5vKUHNR6Z
(854) GPb_bedjKcW
(855) W
(856) YNRvBvPQSR;b_Q_T4GKcYNGa`RUkaT
(857) Q5W
(858) E
(859)
(860)
(861) b_QSvKcOBQSRUT4G)Z\Q¢fE4GBHJINR IJQ_W5R6YJQSvN
(862) QSGBZ
(863) GPYL± bed Q_TwiQSR Z\Q · E
(864) TyTfE o GPYNRZ\Q o GBHNH+KckakaQZ\Q_YNGPIJILK o GPTwING W
(865) YNRUW5RUYJOBQSRUT0KcbSG;KUZ l ILKcbSG)TwE o GPYNR %3W0KcYJQrK\ jlk ¥ ¦\ « §l¨ k= #. d. GPb¡vKUHNRZ
(866) GPb_bedjKcW
(867) W
(868) YNRvBvPQSRGBHNW5RUT4GPT
(869) OBQhKcbSGa`vBRUT4HJQSZ
(870) GPYJQhK RW
(871) YNGPb_Q Q_T0KcY GPTfING vL4G3bhK£HNRUIJINRaHNvPYJQ m OBQSRUT4· GKUZ E
(872) T GPilGPTwINR s ifQSGPT4G£Q_TfifQhKcILK[KcbT4RfZ
(873) RYNGBHNW5RUT4HLo Kc
(874) Q_bSGZ
(875) GPo b_bed Q_TwINGPoYJiaKcb_bSR I HLRUbSR¸HNG s ⊆ I ° Q_TW0KcYJIJQSvBRUbhKcYNGa`ILKcbSGHNRUIJINRaHLvPYJQ_OBQSRUT4GiQSGPT4G»Q_TwiQhKcILK´Kcb T4RZ
(876) RVYNGBHJW5RUT4H+Kc
(877) Q_bSG»Z
(878) GPb_bed Q_TfINGPYJiUKcb_bSR´W
(879) Q_® W
(880) QSvBvBRUbSR>vN4GilGPYJQ ]0vK[ILKcbSGW
(881) YNRUW
(882) YJQSGPIL±\ FYLK\`rE
(883) T0K¸W
(884) E
(885)
(886)
(887) b_QSvKcOBQSRUT4G p ilGPYJQ ]0vKybedGPilGPTfINR s HNRUbSRyHNG °0Z4KvPQ HNGPkaE4G6vL4G p iQSGPT4G3Q_TfifQhKcILKKIJE
(888) IJIJQrQ¡T4RfZ\QrYNGBHJW2RUT4HLKc
(889) Q_b_QZ\QE
(890) T>Q_TwINGPYJiaKcb_bSR I ILKcbSG p⊆s vL4G p ⊆ I ¶ K¢wE0KcTfINRyZ
(891) GPIJINR
(892) `¡HJQW
(893) E ¸Z
(894) GBZ\E
(895) YJYNGvN4GQ_bTfE o GPYNRyZ\QW
(896) E
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