Information on Result #1013966
Linear OOA(782, 39231, F7, 3, 15) (dual of [(39231, 3), 117611, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(78, 13, F7, 3, 7) (dual of [(13, 3), 31, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 8, 13)-net over F7, using
- 5 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 8, 13)-net over F7, using
- linear OOA(774, 39218, F7, 3, 15) (dual of [(39218, 3), 117580, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(774, 117654, F7, 15) (dual of [117654, 117580, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(774, 117656, F7, 15) (dual of [117656, 117582, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(767, 117649, F7, 13) (dual of [117649, 117582, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(774, 117656, F7, 15) (dual of [117656, 117582, 16]-code), using
- OOA 3-folding [i] based on linear OA(774, 117654, F7, 15) (dual of [117654, 117580, 16]-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.