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Table 2 A set of codewords which have small Hamming weight

From: Shortened LDPC codes accelerate OSD decoding performance

No.

\((n+\alpha ,k+\alpha ,\alpha )=(576,288,36)\) IEEE 802.16e

1

100, 158, 247, 261, 345, 409, 419, 423, 433, 443, 494, 504, 518

2

109, 167, 246, 256, 354, 408, 418, 428, 442, 452, 503, 513, 527

3

116, 150, 253, 263, 337, 411, 415, 425, 435, 449, 486, 510, 520

\(\vdots\)

                                    \(\vdots\)

24

104,162, 241, 251, 349, 413, 423, 427, 437, 447, 498, 508, 522

25

96, 110, 144, 154, 243, 247, 341, 355, 409, 415, 439, 443, 480, 490, 504, 524

26

99, 113, 147, 157, 246, 250, 344, 358, 412, 418, 442, 446, 483, 493, 507, 527

\(\vdots\)

                                    \(\vdots\)

899

1, 47, 101, 159, 251, 258, 334, 341, 346, 358, 365, 382, 389, 400, 406, 424, 430, 454, 471, 481, 508, 539, 563

900

11, 27, 59, 113, 154, 158, 217, 308, 314, 317, 338, 362, 382, 391, 428, 436, 466, 492, 494, 516, 517, 540, 541

No.

\((n+\alpha ,k+\alpha ,\alpha )=(648,324,40)\) IEEE 802.11n

1

84, 85, 263, 301, 355, 382, 409, 435, 452, 462, 488, 581, 582, 609, 636

2

100, 101, 252, 317, 371, 398, 425, 441, 451, 478, 504, 570, 571, 598, 625

3

92, 93, 244, 309, 363, 390, 417, 433, 443, 470, 496, 589, 590, 617, 644

\(\vdots\)

                                    \(\vdots\)

27

90, 91, 269, 307, 361, 388, 415, 441, 458, 468, 494, 587, 588, 615, 642

28

33, 45, 85, 139, 168, 288, 355, 382, 396, 409, 468, 495, 522, 561, 565, 580, 582, 607

29

28, 43, 95, 149, 178, 271, 365, 379, 392, 419, 478, 505, 532, 544, 548, 590, 592, 617

\(\vdots\)

                                    \(\vdots\)

799

73, 136, 163, 181, 188, 259, 307, 335, 352, 397, 404, 431, 448, 458, 475, 511, 524, 558, 560, 587, 631, 632

800

79, 187, 193, 265, 382, 403, 409, 436, 454, 463, 481, 488, 490, 515, 542, 557, 569, 584, 596, 611, 623, 638