Information on Result #680045
Linear OA(4212, 1379, F4, 48) (dual of [1379, 1167, 49]-code), using construction X applied to Ce(48) ⊂ Ce(45) based on
- linear OA(4211, 1366, F4, 49) (dual of [1366, 1155, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4199, 1366, F4, 46) (dual of [1366, 1167, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 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 OOA(4212, 689, F4, 2, 48) (dual of [(689, 2), 1166, 49]-NRT-code) | [i] | OOA Folding | |