Information on Result #1013766
Linear OOA(755, 274529, F7, 3, 9) (dual of [(274529, 3), 823532, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(75, 13, F7, 3, 4) (dual of [(13, 3), 34, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 13)-net over F7, using
- 8 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 5, 13)-net over F7, using
- linear OOA(750, 274516, F7, 3, 9) (dual of [(274516, 3), 823498, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(750, 823548, F7, 9) (dual of [823548, 823498, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(750, 823550, F7, 9) (dual of [823550, 823500, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(750, 823543, F7, 9) (dual of [823543, 823493, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(750, 823550, F7, 9) (dual of [823550, 823500, 10]-code), using
- OOA 3-folding [i] based on linear OA(750, 823548, F7, 9) (dual of [823548, 823498, 10]-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.