Information on Result #1312051
Linear OA(829, 571, F8, 10) (dual of [571, 542, 11]-code), using 52 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 12 times 0, 1, 34 times 0) based on linear OA(825, 515, F8, 10) (dual of [515, 490, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(825, 512, F8, 10) (dual of [512, 487, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(822, 512, F8, 9) (dual of [512, 490, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 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(829, 571, F8, 2, 10) (dual of [(571, 2), 1113, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(829, 571, F8, 3, 10) (dual of [(571, 3), 1684, 11]-NRT-code) | [i] | ||
| 3 | Digital (19, 29, 571)-net over F8 | [i] | ||
| 4 | Linear OOA(829, 285, F8, 2, 10) (dual of [(285, 2), 541, 11]-NRT-code) | [i] | OOA Folding | |