Information on Result #1841061
(52, 71, 29129)-net in base 32, using net defined by OOA based on OOA(3271, 29129, S32, 19, 19), using
- OOA 9-folding and stacking with additional row [i] based on OA(3271, 262162, S32, 19), using
- discarding factors based on OA(3271, 262163, S32, 19), using
- discarding parts of the base [i] based on linear OA(6459, 262163, F64, 19) (dual of [262163, 262104, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(644, 19, F64, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- discarding parts of the base [i] based on linear OA(6459, 262163, F64, 19) (dual of [262163, 262104, 20]-code), using
- discarding factors based on OA(3271, 262163, S32, 19), 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.