Information on Result #1312050
Linear OA(828, 535, F8, 10) (dual of [535, 507, 11]-code), using 17 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 12 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(828, 535, F8, 2, 10) (dual of [(535, 2), 1042, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(828, 535, F8, 3, 10) (dual of [(535, 3), 1577, 11]-NRT-code) | [i] | ||
| 3 | Digital (18, 28, 535)-net over F8 | [i] | ||
| 4 | Linear OOA(828, 267, F8, 2, 10) (dual of [(267, 2), 506, 11]-NRT-code) | [i] | OOA Folding | |