Information on Result #696192
Linear OA(27103, 367, F27, 58) (dual of [367, 264, 59]-code), using construction X applied to Ce(57) ⊂ Ce(56) based on
- linear OA(27103, 365, F27, 58) (dual of [365, 262, 59]-code), using an extension Ce(57) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(27101, 365, F27, 57) (dual of [365, 264, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 364 | 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 OA(27104, 377, F27, 58) (dual of [377, 273, 59]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(27103, 183, F27, 2, 58) (dual of [(183, 2), 263, 59]-NRT-code) | [i] | OOA Folding | |