Information on Result #679733
Linear OA(460, 4119, F4, 13) (dual of [4119, 4059, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
- linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(437, 4096, F4, 9) (dual of [4096, 4059, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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 OA(460, 4119, F4, 12) (dual of [4119, 4059, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(461, 4120, F4, 13) (dual of [4120, 4059, 14]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(459, 4118, F4, 12) (dual of [4118, 4059, 13]-code) | [i] | Truncation | |
| 4 | Linear OOA(460, 2766, F4, 2, 13) (dual of [(2766, 2), 5472, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(460, 2766, F4, 3, 13) (dual of [(2766, 3), 8238, 14]-NRT-code) | [i] | ||
| 6 | Digital (47, 60, 2766)-net over F4 | [i] | ||
| 7 | Linear OOA(460, 2059, F4, 2, 13) (dual of [(2059, 2), 4058, 14]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(460, 1373, F4, 3, 13) (dual of [(1373, 3), 4059, 14]-NRT-code) | [i] | ||