Information on Result #1728064
Digital (104, 123, 699067)-net over F8, using net defined by OOA based on linear OOA(8123, 699067, F8, 21, 19) (dual of [(699067, 21), 14680284, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8123, 2097202, F8, 3, 19) (dual of [(2097202, 3), 6291483, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8123, 2097204, F8, 3, 19) (dual of [(2097204, 3), 6291489, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8123, 2097204, F8, 19) (dual of [2097204, 2097081, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(11) [i] based on
- linear OA(8113, 2097152, F8, 19) (dual of [2097152, 2097039, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(810, 52, F8, 6) (dual of [52, 42, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- construction X applied to Ce(18) ⊂ Ce(11) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8123, 2097204, F8, 19) (dual of [2097204, 2097081, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(8123, 2097204, F8, 3, 19) (dual of [(2097204, 3), 6291489, 20]-NRT-code), using
Mode: Linear.
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.