Information on Result #1826307
(79, 102, 190652)-net in base 32, using base change based on (62, 85, 190652)-net in base 64, using
- 641 times duplication [i] based on (61, 84, 190652)-net in base 64, using
- base change [i] based on digital (49, 72, 190652)-net over F128, using
- net defined by OOA [i] based on linear OOA(12872, 190652, F128, 23, 23) (dual of [(190652, 23), 4384924, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(12872, 2097173, F128, 23) (dual of [2097173, 2097101, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(12872, 2097176, F128, 23) (dual of [2097176, 2097104, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(12867, 2097153, F128, 23) (dual of [2097153, 2097086, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- 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(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([0,11]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12872, 2097176, F128, 23) (dual of [2097176, 2097104, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(12872, 2097173, F128, 23) (dual of [2097173, 2097101, 24]-code), using
- net defined by OOA [i] based on linear OOA(12872, 190652, F128, 23, 23) (dual of [(190652, 23), 4384924, 24]-NRT-code), using
- base change [i] based on digital (49, 72, 190652)-net over F128, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (80, 103, 190652)-net in base 32 | [i] | Net Duplication | |