Information on Result #1420304
Linear OOA(458, 4072, F4, 2, 12) (dual of [(4072, 2), 8086, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(458, 4072, F4, 12) (dual of [4072, 4014, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(458, 4117, F4, 12) (dual of [4117, 4059, 13]-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(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- 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(458, 2036, F4, 3, 12) (dual of [(2036, 3), 6050, 13]-NRT-code) | [i] | OOA Folding | |