Information on Result #976291
Linear OOA(781, 78435, F7, 3, 14) (dual of [(78435, 3), 235224, 15]-NRT-code), using OOA 3-folding based on linear OA(781, 235305, F7, 14) (dual of [235305, 235224, 15]-code), using
- 1 times code embedding in larger space [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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.