Information on Result #1831877
OOA(27100, 9943, S27, 2, 28), using (u, u+v)-construction based on
- OOA(2720, 100, S27, 2, 14), using
- extracting embedded OOA [i] based on (6, 20, 100)-net in base 27, using
- base change [i] based on digital (1, 15, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- base change [i] based on digital (1, 15, 100)-net over F81, using
- extracting embedded OOA [i] based on (6, 20, 100)-net in base 27, using
- linear OOA(2780, 9843, F27, 2, 28) (dual of [(9843, 2), 19606, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2780, 19686, F27, 28) (dual of [19686, 19606, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2780, 19687, F27, 28) (dual of [19687, 19607, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(271, 4, F27, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(2780, 19687, F27, 28) (dual of [19687, 19607, 29]-code), using
- OOA 2-folding [i] based on linear OA(2780, 19686, F27, 28) (dual of [19686, 19606, 29]-code), using
Mode: Constructive.
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.