Information on Result #1307567
Linear OA(459, 1128, F4, 14) (dual of [1128, 1069, 15]-code), using 91 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 6 times 0, 1, 12 times 0, 1, 23 times 0, 1, 42 times 0) based on linear OA(451, 1029, F4, 14) (dual of [1029, 978, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(451, 1024, F4, 14) (dual of [1024, 973, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(446, 1024, F4, 13) (dual of [1024, 978, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(459, 1128, F4, 2, 14) (dual of [(1128, 2), 2197, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(459, 1128, F4, 3, 14) (dual of [(1128, 3), 3325, 15]-NRT-code) | [i] | ||
| 3 | Digital (45, 59, 1128)-net over F4 | [i] | ||