Information on Result #1445057
Linear OOA(8108, 4932, F8, 2, 29) (dual of [(4932, 2), 9756, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8108, 4932, F8, 29) (dual of [4932, 4824, 30]-code), using
- 825 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 23 times 0, 1, 66 times 0, 1, 148 times 0, 1, 250 times 0, 1, 327 times 0) [i] based on linear OA(8101, 4100, F8, 29) (dual of [4100, 3999, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(8101, 4096, F8, 29) (dual of [4096, 3995, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(897, 4096, F8, 28) (dual of [4096, 3999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [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(8108, 2466, F8, 3, 29) (dual of [(2466, 3), 7290, 30]-NRT-code) | [i] | OOA Folding | |