Information on Result #1311506
Linear OA(748, 2455, F7, 13) (dual of [2455, 2407, 14]-code), using 47 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 40 times 0) based on linear OA(745, 2405, F7, 13) (dual of [2405, 2360, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(745, 2401, F7, 13) (dual of [2401, 2356, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(741, 2401, F7, 12) (dual of [2401, 2360, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(748, 2455, F7, 2, 13) (dual of [(2455, 2), 4862, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(748, 2455, F7, 3, 13) (dual of [(2455, 3), 7317, 14]-NRT-code) | [i] | ||
| 3 | Digital (35, 48, 2455)-net over F7 | [i] | ||
| 4 | Linear OOA(748, 1227, F7, 2, 13) (dual of [(1227, 2), 2406, 14]-NRT-code) | [i] | OOA Folding | |