Information on Result #1579587
Linear OOA(3174, 1684, F3, 4, 32) (dual of [(1684, 4), 6562, 33]-NRT-code), using OOA 2-folding based on linear OOA(3174, 3368, F3, 2, 32) (dual of [(3368, 2), 6562, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3174, 3369, F3, 2, 32) (dual of [(3369, 2), 6564, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3174, 3369, F3, 32) (dual of [3369, 3195, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3174, 6583, F3, 32) (dual of [6583, 6409, 33]-code), using
- construction XX applied to Ce(31) ⊂ Ce(28) ⊂ Ce(27) [i] based on
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(34, 21, F3, 2) (dual of [21, 17, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), 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(31) ⊂ Ce(28) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(3174, 6583, F3, 32) (dual of [6583, 6409, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3174, 3369, F3, 32) (dual of [3369, 3195, 33]-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.