Information on Result #1300762
Linear OA(4204, 263, F4, 102) (dual of [263, 59, 103]-code), using construction X with Varšamov bound based on
- linear OA(4203, 261, F4, 102) (dual of [261, 58, 103]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4202, 259, F4, 102) (dual of [259, 57, 103]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4200, 256, F4, 102) (dual of [256, 56, 103]-code), using
- an extension Ce(101) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,101], and designed minimum distance d ≥ |I|+1 = 102 [i]
- linear OA(4200, 257, F4, 100) (dual of [257, 57, 101]-code), using Gilbert–Varšamov bound and bm = 4200 > Vbs−1(k−1) = 1 699704 901350 602174 147187 059661 309259 292781 965491 887868 689452 820999 487803 707603 327901 327866 654452 007516 067853 570870 555021 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(4200, 256, F4, 102) (dual of [256, 56, 103]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4202, 260, F4, 101) (dual of [260, 58, 102]-code), using Gilbert–Varšamov bound and bm = 4202 > Vbs−1(k−1) = 34 834694 015986 679493 383934 717975 190543 678610 879859 549647 395117 050842 761178 541752 895277 341986 492309 843293 004196 153309 253504 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(4202, 259, F4, 102) (dual of [259, 57, 103]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4203, 262, F4, 101) (dual of [262, 59, 102]-code), using Gilbert–Varšamov bound and bm = 4203 > Vbs−1(k−1) = 91 471984 140996 570870 850762 247604 793508 135420 387435 941498 587928 932783 664031 098842 139547 880291 764488 669813 576516 236481 525864 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code) (see above)
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.