Information on Result #1621613
Linear OOA(3197, 13388, F3, 5, 28) (dual of [(13388, 5), 66743, 29]-NRT-code), using OOA 2-folding based on linear OOA(3197, 26776, F3, 3, 28) (dual of [(26776, 3), 80131, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3197, 26776, F3, 2, 28) (dual of [(26776, 2), 53355, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3197, 29557, F3, 2, 28) (dual of [(29557, 2), 58917, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3197, 59114, F3, 28) (dual of [59114, 58917, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3197, 59115, F3, 28) (dual of [59115, 58918, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(316, 66, F3, 7) (dual of [66, 50, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(3197, 59115, F3, 28) (dual of [59115, 58918, 29]-code), using
- OOA 2-folding [i] based on linear OA(3197, 59114, F3, 28) (dual of [59114, 58917, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(3197, 29557, F3, 2, 28) (dual of [(29557, 2), 58917, 29]-NRT-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.