Information on Result #1728196
Digital (110, 130, 524300)-net over F8, using net defined by OOA based on linear OOA(8130, 524300, F8, 27, 20) (dual of [(524300, 27), 14155970, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8130, 2097201, F8, 3, 20) (dual of [(2097201, 3), 6291473, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8130, 2097204, F8, 3, 20) (dual of [(2097204, 3), 6291482, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8130, 2097204, F8, 20) (dual of [2097204, 2097074, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(12) [i] based on
- linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(878, 2097152, F8, 13) (dual of [2097152, 2097074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(19) ⊂ Ce(12) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8130, 2097204, F8, 20) (dual of [2097204, 2097074, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(8130, 2097204, F8, 3, 20) (dual of [(2097204, 3), 6291482, 21]-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.