Information on Result #679761
Linear OA(4128, 4127, F4, 27) (dual of [4127, 3999, 28]-code), using construction X applied to Ce(26) ⊂ Ce(21) based on
- linear OA(4121, 4096, F4, 27) (dual of [4096, 3975, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(497, 4096, F4, 22) (dual of [4096, 3999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(47, 31, F4, 4) (dual of [31, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
Mode: Constructive and 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(4128, 3862, F4, 2, 27) (dual of [(3862, 2), 7596, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4128, 3862, F4, 3, 27) (dual of [(3862, 3), 11458, 28]-NRT-code) | [i] | ||
| 3 | Digital (101, 128, 3862)-net over F4 | [i] | ||
| 4 | Linear OOA(4128, 2063, F4, 2, 27) (dual of [(2063, 2), 3998, 28]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4128, 1375, F4, 3, 27) (dual of [(1375, 3), 3997, 28]-NRT-code) | [i] | ||