Information on Result #1841453
(63, 77, 1310720)-net in base 64, using net defined by OOA based on OOA(6477, 1310720, S64, 18, 14), using
- OOA 4-folding and stacking with additional row [i] based on OOA(6477, 5242881, S64, 2, 14), using
- (u, u+v)-construction [i] based on
- OOA(6424, 1048580, S64, 2, 7), using
- OOA 2-folding [i] based on OA(6424, 2097160, S64, 7), using
- discarding factors based on OA(6424, 2097161, S64, 7), using
- discarding parts of the base [i] based on linear OA(12820, 2097161, F128, 7) (dual of [2097161, 2097141, 8]-code), using
- construction X4 applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(12819, 2097153, F128, 7) (dual of [2097153, 2097134, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(12813, 2097153, F128, 5) (dual of [2097153, 2097140, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(1287, 8, F128, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,128)), using
- dual of repetition code with length 8 [i]
- linear OA(1281, 8, F128, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, 128, F128, 1) (dual of [128, 127, 2]-code), using
- Reed–Solomon code RS(127,128) [i]
- discarding factors / shortening the dual code based on linear OA(1281, 128, F128, 1) (dual of [128, 127, 2]-code), using
- construction X4 applied to C([0,3]) ⊂ C([0,2]) [i] based on
- discarding parts of the base [i] based on linear OA(12820, 2097161, F128, 7) (dual of [2097161, 2097141, 8]-code), using
- discarding factors based on OA(6424, 2097161, S64, 7), using
- OOA 2-folding [i] based on OA(6424, 2097160, S64, 7), using
- linear OOA(6453, 4194301, F64, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6453, 8388602, F64, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(6453, 8388602, F64, 14) (dual of [8388602, 8388549, 15]-code), using
- OOA(6424, 1048580, S64, 2, 7), using
- (u, u+v)-construction [i] based on
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.