Information on Result #896316
Linear OOA(762, 2882417, F7, 2, 9) (dual of [(2882417, 2), 5764772, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(75, 13, F7, 2, 4) (dual of [(13, 2), 21, 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(757, 2882404, F7, 2, 9) (dual of [(2882404, 2), 5764751, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(757, 5764808, F7, 9) (dual of [5764808, 5764751, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(757, 5764809, F7, 9) (dual of [5764809, 5764752, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(757, 5764801, F7, 9) (dual of [5764801, 5764744, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(749, 5764801, F7, 8) (dual of [5764801, 5764752, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(70, 8, F7, 0) (dual of [8, 8, 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(757, 5764809, F7, 9) (dual of [5764809, 5764752, 10]-code), using
- OOA 2-folding [i] based on linear OA(757, 5764808, F7, 9) (dual of [5764808, 5764751, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(762, 1441208, F7, 10, 9) (dual of [(1441208, 10), 14412018, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |