Information on Result #1480221
Linear OOA(4144, 548, F4, 3, 38) (dual of [(548, 3), 1500, 39]-NRT-code), using OOA 2-folding based on linear OOA(4144, 1096, F4, 2, 38) (dual of [(1096, 2), 2048, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4144, 1097, F4, 2, 38) (dual of [(1097, 2), 2050, 39]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4144, 1097, F4, 38) (dual of [1097, 953, 39]-code), using
- 65 step Varšamov–Edel lengthening with (ri) = (1, 9 times 0, 1, 21 times 0, 1, 32 times 0) [i] based on linear OA(4141, 1029, F4, 38) (dual of [1029, 888, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(4141, 1024, F4, 38) (dual of [1024, 883, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4136, 1024, F4, 37) (dual of [1024, 888, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 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
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- 65 step Varšamov–Edel lengthening with (ri) = (1, 9 times 0, 1, 21 times 0, 1, 32 times 0) [i] based on linear OA(4141, 1029, F4, 38) (dual of [1029, 888, 39]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4144, 1097, F4, 38) (dual of [1097, 953, 39]-code), using
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.