Information on Result #1841543
(56, 76, 209718)-net in base 64, using net defined by OOA based on OOA(6476, 209718, S64, 20, 20), using
- OA 10-folding and stacking [i] based on OA(6476, 2097180, S64, 20), using
- discarding factors based on OA(6476, 2097183, S64, 20), using
- discarding parts of the base [i] based on linear OA(12865, 2097183, F128, 20) (dual of [2097183, 2097118, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(11) [i] based on
- linear OA(12858, 2097152, F128, 20) (dual of [2097152, 2097094, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1287, 31, F128, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- construction X applied to Ce(19) ⊂ Ce(11) [i] based on
- discarding parts of the base [i] based on linear OA(12865, 2097183, F128, 20) (dual of [2097183, 2097118, 21]-code), using
- discarding factors based on OA(6476, 2097183, S64, 20), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.