Information on Result #2248680
Linear OA(791, 823584, F7, 14) (dual of [823584, 823493, 15]-code), using 1 times truncation based on linear OA(792, 823585, F7, 15) (dual of [823585, 823493, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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(77, 42, F7, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-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(791, 823584, F7, 2, 14) (dual of [(823584, 2), 1647077, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(791, 823584, F7, 3, 14) (dual of [(823584, 3), 2470661, 15]-NRT-code) | [i] | ||
| 3 | Digital (77, 91, 823584)-net over F7 | [i] | ||
| 4 | Linear OOA(791, 411792, F7, 2, 14) (dual of [(411792, 2), 823493, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(791, 274528, F7, 3, 14) (dual of [(274528, 3), 823493, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(791, 117654, F7, 14, 14) (dual of [(117654, 14), 1647065, 15]-NRT-code) | [i] | OA Folding and Stacking | |