Information on Result #1300653
Linear OA(4189, 275, F4, 87) (dual of [275, 86, 88]-code), using construction X with Varšamov bound based on
- linear OA(4188, 273, F4, 87) (dual of [273, 85, 88]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4187, 271, F4, 87) (dual of [271, 84, 88]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4181, 262, F4, 87) (dual of [262, 81, 88]-code), using
- construction X applied to Ce(86) ⊂ Ce(84) [i] based on
- linear OA(4180, 256, F4, 87) (dual of [256, 76, 88]-code), using an extension Ce(86) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [i]
- linear OA(4175, 256, F4, 85) (dual of [256, 81, 86]-code), using an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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
- construction X applied to Ce(86) ⊂ Ce(84) [i] based on
- linear OA(4181, 265, F4, 83) (dual of [265, 84, 84]-code), using Gilbert–Varšamov bound and bm = 4181 > Vbs−1(k−1) = 9 035242 682040 325439 468250 669021 950693 413542 837167 266425 676107 962964 160840 004634 567116 725725 149498 881003 444336 [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- linear OA(4181, 262, F4, 87) (dual of [262, 81, 88]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4187, 272, F4, 86) (dual of [272, 85, 87]-code), using Gilbert–Varšamov bound and bm = 4187 > Vbs−1(k−1) = 35361 646602 976004 415828 370529 248290 228981 671595 795575 602559 959668 846352 176008 254222 474627 118739 260853 986636 529184 [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(4187, 271, F4, 87) (dual of [271, 84, 88]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4188, 274, F4, 86) (dual of [274, 86, 87]-code), using Gilbert–Varšamov bound and bm = 4188 > Vbs−1(k−1) = 74550 604159 563878 933748 470176 966812 849784 701533 314004 774996 653597 325701 319864 501788 565898 268465 800037 571166 574144 [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.