Information on Result #1309008
Linear OA(4255, 4119, F4, 57) (dual of [4119, 3864, 58]-code), using 15 step Varšamov–Edel lengthening with (ri) = (1, 14 times 0) based on linear OA(4254, 4103, F4, 57) (dual of [4103, 3849, 58]-code), using
- construction X applied to Ce(56) ⊂ Ce(54) [i] based on
- linear OA(4253, 4096, F4, 57) (dual of [4096, 3843, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(4247, 4096, F4, 55) (dual of [4096, 3849, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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(4255, 4119, F4, 2, 57) (dual of [(4119, 2), 7983, 58]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4255, 4119, F4, 3, 57) (dual of [(4119, 3), 12102, 58]-NRT-code) | [i] | ||
| 3 | Digital (198, 255, 4119)-net over F4 | [i] | ||