Information on Result #679827
Linear OA(4259, 4156, F4, 54) (dual of [4156, 3897, 55]-code), using construction X applied to Ce(53) ⊂ Ce(44) based on
- linear OA(4241, 4096, F4, 54) (dual of [4096, 3855, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(418, 60, F4, 8) (dual of [60, 42, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 63, F4, 8) (dual of [63, 45, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(418, 63, F4, 8) (dual of [63, 45, 9]-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 OA(4260, 4157, F4, 54) (dual of [4157, 3897, 55]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4259, 2078, F4, 2, 54) (dual of [(2078, 2), 3897, 55]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4259, 1385, F4, 3, 54) (dual of [(1385, 3), 3896, 55]-NRT-code) | [i] | ||