Information on Result #1725436
Digital (66, 80, 78434)-net over F7, using net defined by OOA based on linear OOA(780, 78434, F7, 21, 14) (dual of [(78434, 21), 1647034, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(780, 235303, F7, 3, 14) (dual of [(235303, 3), 705829, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(780, 235304, F7, 3, 14) (dual of [(235304, 3), 705832, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(780, 235304, F7, 14) (dual of [235304, 235224, 15]-code), using
- trace code [i] based on linear OA(4940, 117652, F49, 14) (dual of [117652, 117612, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(4937, 117649, F49, 13) (dual of [117649, 117612, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 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(4940, 117652, F49, 14) (dual of [117652, 117612, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(780, 235304, F7, 14) (dual of [235304, 235224, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(780, 235304, F7, 3, 14) (dual of [(235304, 3), 705832, 15]-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.