Information on Result #1311534
Linear OA(741, 360, F7, 15) (dual of [360, 319, 16]-code), using 10 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 6 times 0) based on linear OA(738, 347, F7, 15) (dual of [347, 309, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(737, 343, F7, 15) (dual of [343, 306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(734, 343, F7, 13) (dual of [343, 309, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-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(741, 360, F7, 2, 15) (dual of [(360, 2), 679, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(741, 360, F7, 3, 15) (dual of [(360, 3), 1039, 16]-NRT-code) | [i] | ||
| 3 | Digital (26, 41, 360)-net over F7 | [i] | ||
| 4 | Linear OOA(741, 180, F7, 2, 15) (dual of [(180, 2), 319, 16]-NRT-code) | [i] | OOA Folding | |