Information on Result #1552257
Linear OOA(777, 3526, F7, 3, 20) (dual of [(3526, 3), 10501, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(777, 3526, F7, 20) (dual of [3526, 3449, 21]-code), using
- 1113 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 25 times 0, 1, 71 times 0, 1, 147 times 0, 1, 229 times 0, 1, 292 times 0, 1, 337 times 0) [i] based on linear OA(769, 2405, F7, 20) (dual of [2405, 2336, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(769, 2401, F7, 20) (dual of [2401, 2332, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(765, 2401, F7, 19) (dual of [2401, 2336, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
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(777, 881, F7, 27, 20) (dual of [(881, 27), 23710, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |