Information on Result #3279799
(58, 75, 262146)-net in base 32, using 321 times duplication based on (57, 74, 262146)-net in base 32, using
- net defined by OOA [i] based on OOA(3274, 262146, S32, 17, 17), using
- OOA 8-folding and stacking with additional row [i] based on OA(3274, 2097169, S32, 17), using
- 1 times code embedding in larger space [i] based on OA(3273, 2097168, S32, 17), using
- discarding parts of the base [i] based on linear OA(12852, 2097168, F128, 17) (dual of [2097168, 2097116, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(12849, 2097153, F128, 17) (dual of [2097153, 2097104, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(12837, 2097153, F128, 13) (dual of [2097153, 2097116, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1283, 15, F128, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,128) or 15-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- discarding parts of the base [i] based on linear OA(12852, 2097168, F128, 17) (dual of [2097168, 2097116, 18]-code), using
- 1 times code embedding in larger space [i] based on OA(3273, 2097168, S32, 17), using
- OOA 8-folding and stacking with additional row [i] based on OA(3274, 2097169, S32, 17), 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.