Information on Result #1552661
Linear OOA(789, 2946, F7, 3, 24) (dual of [(2946, 3), 8749, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(789, 2946, F7, 24) (dual of [2946, 2857, 25]-code), using
- 533 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 17 times 0, 1, 42 times 0, 1, 91 times 0, 1, 157 times 0, 1, 213 times 0) [i] based on linear OA(781, 2405, F7, 24) (dual of [2405, 2324, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(781, 2401, F7, 24) (dual of [2401, 2320, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(777, 2401, F7, 23) (dual of [2401, 2324, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(23) ⊂ Ce(22) [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(789, 736, F7, 27, 24) (dual of [(736, 27), 19783, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |