Information on Result #1840201
(57, 71, 9362)-net in base 8, using net defined by OOA based on OOA(871, 9362, S8, 14, 14), using
- OA 7-folding and stacking [i] based on OA(871, 65534, S8, 14), using
- discarding factors based on OA(871, 65540, S8, 14), using
- discarding parts of the base [i] based on linear OA(1653, 65540, F16, 14) (dual of [65540, 65487, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(1653, 65536, F16, 14) (dual of [65536, 65483, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1649, 65536, F16, 13) (dual of [65536, 65487, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(160, 4, F16, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding parts of the base [i] based on linear OA(1653, 65540, F16, 14) (dual of [65540, 65487, 15]-code), using
- discarding factors based on OA(871, 65540, S8, 14), 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.