Information on Result #1312373
Linear OA(8109, 4268, F8, 30) (dual of [4268, 4159, 31]-code), using 164 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 38 times 0, 1, 117 times 0) based on linear OA(8105, 4100, F8, 30) (dual of [4100, 3995, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(8105, 4096, F8, 30) (dual of [4096, 3991, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(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
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(8109, 4268, F8, 2, 30) (dual of [(4268, 2), 8427, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8109, 4268, F8, 3, 30) (dual of [(4268, 3), 12695, 31]-NRT-code) | [i] | ||
| 3 | Digital (79, 109, 4268)-net over F8 | [i] | ||
| 4 | Linear OOA(8109, 2134, F8, 2, 30) (dual of [(2134, 2), 4159, 31]-NRT-code) | [i] | OOA Folding | |