Information on Result #679658
Linear OA(456, 4110, F4, 12) (dual of [4110, 4054, 13]-code), using construction X4 applied to Ce(12) ⊂ Ce(9) 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(443, 4096, F4, 10) (dual of [4096, 4053, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(413, 14, F4, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,4)), using
- dual of repetition code with length 14 [i]
- linear OA(41, 14, F4, 1) (dual of [14, 13, 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: 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(457, 4111, F4, 12) (dual of [4111, 4054, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(456, 2055, F4, 2, 12) (dual of [(2055, 2), 4054, 13]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(456, 1370, F4, 3, 12) (dual of [(1370, 3), 4054, 13]-NRT-code) | [i] | ||