Information on Result #679767
Linear OA(492, 4127, F4, 19) (dual of [4127, 4035, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(485, 4096, F4, 19) (dual of [4096, 4011, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(461, 4096, F4, 14) (dual of [4096, 4035, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(492, 3983, F4, 2, 19) (dual of [(3983, 2), 7874, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(492, 3983, F4, 3, 19) (dual of [(3983, 3), 11857, 20]-NRT-code) | [i] | ||
| 3 | Digital (73, 92, 3983)-net over F4 | [i] | ||
| 4 | Linear OOA(492, 2063, F4, 2, 19) (dual of [(2063, 2), 4034, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(492, 1375, F4, 3, 19) (dual of [(1375, 3), 4033, 20]-NRT-code) | [i] | ||