Information on Result #696252
Linear OA(2781, 369, F27, 44) (dual of [369, 288, 45]-code), using construction X applied to Ce(43) ⊂ Ce(41) based on
- linear OA(2780, 365, F27, 44) (dual of [365, 285, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2777, 365, F27, 42) (dual of [365, 288, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(271, 4, F27, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 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(2781, 184, F27, 2, 44) (dual of [(184, 2), 287, 45]-NRT-code) | [i] | OOA Folding | |