Information on Result #2697593
Linear OOA(793, 5619, F7, 3, 19) (dual of [(5619, 3), 16764, 20]-NRT-code), using 71 times duplication based on linear OOA(792, 5619, F7, 3, 19) (dual of [(5619, 3), 16765, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(710, 13, F7, 3, 9) (dual of [(13, 3), 29, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 10, 13)-net over F7, using
- 3 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 10, 13)-net over F7, using
- linear OOA(782, 5606, F7, 3, 19) (dual of [(5606, 3), 16736, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(782, 16818, F7, 19) (dual of [16818, 16736, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(782, 16819, F7, 19) (dual of [16819, 16737, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(781, 16808, F7, 19) (dual of [16808, 16727, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(771, 16808, F7, 17) (dual of [16808, 16737, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(71, 11, F7, 1) (dual of [11, 10, 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 C([0,9]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(782, 16819, F7, 19) (dual of [16819, 16737, 20]-code), using
- OOA 3-folding [i] based on linear OA(782, 16818, F7, 19) (dual of [16818, 16736, 20]-code), using
- linear OOA(710, 13, F7, 3, 9) (dual of [(13, 3), 29, 10]-NRT-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.