Information on Result #1311470
Linear OA(735, 2413, F7, 10) (dual of [2413, 2378, 11]-code), using 6 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0) based on linear OA(733, 2405, F7, 10) (dual of [2405, 2372, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(733, 2401, F7, 10) (dual of [2401, 2368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(729, 2401, F7, 9) (dual of [2401, 2372, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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: 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(735, 2413, F7, 2, 10) (dual of [(2413, 2), 4791, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(735, 2413, F7, 3, 10) (dual of [(2413, 3), 7204, 11]-NRT-code) | [i] | ||
| 3 | Digital (25, 35, 2413)-net over F7 | [i] | ||