Information on Result #1442996
Linear OOA(7109, 2937, F7, 2, 30) (dual of [(2937, 2), 5765, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(7109, 2937, F7, 30) (dual of [2937, 2828, 31]-code), using
- 524 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 23 times 0, 1, 53 times 0, 1, 102 times 0, 1, 149 times 0, 1, 180 times 0) [i] based on linear OA(7101, 2405, F7, 30) (dual of [2405, 2304, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- 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(797, 2401, F7, 29) (dual of [2401, 2304, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(29) ⊂ Ce(28) [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(7109, 1468, F7, 3, 30) (dual of [(1468, 3), 4295, 31]-NRT-code) | [i] | OOA Folding | |