Information on Result #1534294
Linear OOA(459, 2438, F4, 3, 13) (dual of [(2438, 3), 7255, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(459, 2438, F4, 13) (dual of [2438, 2379, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(459, 4113, F4, 13) (dual of [4113, 4054, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] 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(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
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(459, 1218, F4, 15, 13) (dual of [(1218, 15), 18211, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |