Information on Result #1579359
Linear OOA(3145, 1775, F3, 4, 26) (dual of [(1775, 4), 6955, 27]-NRT-code), using OOA 2-folding based on linear OOA(3145, 3550, F3, 2, 26) (dual of [(3550, 2), 6955, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3145, 3551, F3, 2, 26) (dual of [(3551, 2), 6957, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3145, 3551, F3, 26) (dual of [3551, 3406, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3145, 6594, F3, 26) (dual of [6594, 6449, 27]-code), using
- construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(19) [i] based on
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(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(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3145, 6594, F3, 26) (dual of [6594, 6449, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3145, 3551, F3, 26) (dual of [3551, 3406, 27]-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.