Information on Result #685116
Linear OA(787, 1203, F7, 26) (dual of [1203, 1116, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(787, 1201, F7, 26) (dual of [1201, 1114, 27]-code), using an extension Ce(25) of the narrow-sense BCH-code C(I) with length 1200 | 74−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(785, 1201, F7, 25) (dual of [1201, 1116, 26]-code), using an extension Ce(24) of the narrow-sense BCH-code C(I) with length 1200 | 74−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(70, 2, F7, 0) (dual of [2, 2, 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(787, 601, F7, 2, 26) (dual of [(601, 2), 1115, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(787, 401, F7, 3, 26) (dual of [(401, 3), 1116, 27]-NRT-code) | [i] | ||