Information on Result #1621153
Linear OOA(3107, 1580, F3, 5, 20) (dual of [(1580, 5), 7793, 21]-NRT-code), using OOA 2-folding based on linear OOA(3107, 3160, F3, 3, 20) (dual of [(3160, 3), 9373, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3107, 3160, F3, 2, 20) (dual of [(3160, 2), 6213, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3107, 3286, F3, 2, 20) (dual of [(3286, 2), 6465, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3107, 6572, F3, 20) (dual of [6572, 6465, 21]-code), using
- construction XX applied to Ce(19) ⊂ Ce(18) ⊂ Ce(16) [i] based on
- 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(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(19) ⊂ Ce(18) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(3107, 6572, F3, 20) (dual of [6572, 6465, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(3107, 3286, F3, 2, 20) (dual of [(3286, 2), 6465, 21]-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.