Information on Result #685610
Linear OA(782, 175, F7, 37) (dual of [175, 93, 38]-code), using construction X applied to Ce(36) ⊂ Ce(35) based on
- linear OA(782, 172, F7, 37) (dual of [172, 90, 38]-code), using an extension Ce(36) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(779, 172, F7, 36) (dual of [172, 93, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 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
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(782, 87, F7, 2, 37) (dual of [(87, 2), 92, 38]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(782, 58, F7, 3, 37) (dual of [(58, 3), 92, 38]-NRT-code) | [i] | ||