Information on Result #1311842
Linear OA(7110, 2574, F7, 31) (dual of [2574, 2464, 32]-code), using 164 step Varšamov–Edel lengthening with (ri) = (2, 4 times 0, 1, 17 times 0, 1, 47 times 0, 1, 92 times 0) based on linear OA(7105, 2405, F7, 31) (dual of [2405, 2300, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(7105, 2401, F7, 31) (dual of [2401, 2296, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(7101, 2401, F7, 30) (dual of [2401, 2300, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(7110, 2574, F7, 2, 31) (dual of [(2574, 2), 5038, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7110, 2574, F7, 3, 31) (dual of [(2574, 3), 7612, 32]-NRT-code) | [i] | ||
| 3 | Digital (79, 110, 2574)-net over F7 | [i] | ||
| 4 | Linear OOA(7110, 1287, F7, 2, 31) (dual of [(1287, 2), 2464, 32]-NRT-code) | [i] | OOA Folding | |