Information on Result #1316159
Linear OA(12823, 465, F128, 13) (dual of [465, 442, 14]-code), using 80 step Varšamov–Edel lengthening with (ri) = (1, 0, 1, 77 times 0) based on linear OA(12821, 383, F128, 13) (dual of [383, 362, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(12821, 382, F128, 13) (dual of [382, 361, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12820, 382, F128, 12) (dual of [382, 362, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1280, 1, F128, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 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(12823, 465, F128, 2, 13) (dual of [(465, 2), 907, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12823, 465, F128, 3, 13) (dual of [(465, 3), 1372, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(12823, 465, F128, 4, 13) (dual of [(465, 4), 1837, 14]-NRT-code) | [i] | ||
| 4 | Digital (10, 23, 465)-net over F128 | [i] | ||