Information on Result #1848392
OOA(6428, 1048581, S64, 3, 8), using OOA 2-folding based on OOA(6428, 2097162, S64, 2, 8), using
- discarding factors based on OOA(6428, 2097163, S64, 2, 8), using
- extracting embedded OOA [i] based on (20, 28, 2097163)-net in base 64, using
- base change [i] based on digital (16, 24, 2097163)-net over F128, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12824, 2097163, F128, 8) (dual of [2097163, 2097139, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(12813, 2097152, F128, 5) (dual of [2097152, 2097139, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(1282, 11, F128, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12824, 2097163, F128, 8) (dual of [2097163, 2097139, 9]-code), using
- base change [i] based on digital (16, 24, 2097163)-net over F128, using
- extracting embedded OOA [i] based on (20, 28, 2097163)-net in base 64, using
Mode: Arbitrary.
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.