Information on Result #3280273
(53, 72, 233019)-net in base 64, using 642 times duplication based on (51, 70, 233019)-net in base 64, using
- base change [i] based on digital (41, 60, 233019)-net over F128, using
- net defined by OOA [i] based on linear OOA(12860, 233019, F128, 19, 19) (dual of [(233019, 19), 4427301, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(12860, 2097172, F128, 19) (dual of [2097172, 2097112, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(12860, 2097176, F128, 19) (dual of [2097176, 2097116, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(1285, 23, F128, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12860, 2097176, F128, 19) (dual of [2097176, 2097116, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(12860, 2097172, F128, 19) (dual of [2097172, 2097112, 20]-code), using
- net defined by OOA [i] based on linear OOA(12860, 233019, F128, 19, 19) (dual of [(233019, 19), 4427301, 20]-NRT-code), 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.