Information on Result #1311600
Linear OA(767, 2670, F7, 18) (dual of [2670, 2603, 19]-code), using 259 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 10 times 0, 1, 28 times 0, 1, 69 times 0, 1, 145 times 0) based on linear OA(761, 2405, F7, 18) (dual of [2405, 2344, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(761, 2401, F7, 18) (dual of [2401, 2340, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(757, 2401, F7, 17) (dual of [2401, 2344, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(767, 2670, F7, 2, 18) (dual of [(2670, 2), 5273, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(767, 2670, F7, 3, 18) (dual of [(2670, 3), 7943, 19]-NRT-code) | [i] | ||
| 3 | Digital (49, 67, 2670)-net over F7 | [i] | ||
| 4 | Linear OOA(767, 1335, F7, 2, 18) (dual of [(1335, 2), 2603, 19]-NRT-code) | [i] | OOA Folding | |