Information on Result #1621382
Linear OOA(3136, 1906, F3, 5, 24) (dual of [(1906, 5), 9394, 25]-NRT-code), using OOA 2-folding based on linear OOA(3136, 3812, F3, 3, 24) (dual of [(3812, 3), 11300, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3136, 3813, F3, 3, 24) (dual of [(3813, 3), 11303, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3136, 3813, F3, 24) (dual of [3813, 3677, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, 6593, F3, 24) (dual of [6593, 6457, 25]-code), using
- construction XX applied to Ce(24) ⊂ Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(36, 31, F3, 3) (dual of [31, 25, 4]-code or 31-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(24) ⊂ Ce(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3136, 6593, F3, 24) (dual of [6593, 6457, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3136, 3813, F3, 24) (dual of [3813, 3677, 25]-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.