Information on Result #1579926
Linear OOA(3238, 5898, F3, 4, 37) (dual of [(5898, 4), 23354, 38]-NRT-code), using OOA 2-folding based on linear OOA(3238, 11796, F3, 2, 37) (dual of [(11796, 2), 23354, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3238, 11797, F3, 2, 37) (dual of [(11797, 2), 23356, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3238, 11797, F3, 37) (dual of [11797, 11559, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(3238, 19758, F3, 37) (dual of [19758, 19520, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(27) [i] based on
- linear OA(3217, 19683, F3, 37) (dual of [19683, 19466, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(321, 75, F3, 8) (dual of [75, 54, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- construction X applied to Ce(36) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(3238, 19758, F3, 37) (dual of [19758, 19520, 38]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3238, 11797, F3, 37) (dual of [11797, 11559, 38]-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.