Information on Result #1731292
Digital (41, 55, 4335)-net over F9, using net defined by OOA based on linear OOA(955, 4335, F9, 21, 14) (dual of [(4335, 21), 90980, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(955, 13006, F9, 3, 14) (dual of [(13006, 3), 38963, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(955, 13006, F9, 14) (dual of [13006, 12951, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(955, 13127, F9, 14) (dual of [13127, 13072, 15]-code), using
- 1 times code embedding in larger space [i] based on linear OA(954, 13126, F9, 14) (dual of [13126, 13072, 15]-code), using
- trace code [i] based on linear OA(8127, 6563, F81, 14) (dual of [6563, 6536, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8125, 6561, F81, 13) (dual of [6561, 6536, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- trace code [i] based on linear OA(8127, 6563, F81, 14) (dual of [6563, 6536, 15]-code), using
- 1 times code embedding in larger space [i] based on linear OA(954, 13126, F9, 14) (dual of [13126, 13072, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(955, 13127, F9, 14) (dual of [13127, 13072, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(955, 13006, F9, 14) (dual of [13006, 12951, 15]-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.