Information on Result #695541
Linear OA(27107, 731, F27, 58) (dual of [731, 624, 59]-code), using construction X applied to Ce(57) ⊂ Ce(56) based on
- linear OA(27107, 729, F27, 58) (dual of [729, 622, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(27105, 729, F27, 57) (dual of [729, 624, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-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(27107, 365, F27, 2, 58) (dual of [(365, 2), 623, 59]-NRT-code) | [i] | OOA Folding | |