Information on Result #695347
Linear OA(27110, 735, F27, 59) (dual of [735, 625, 60]-code), using construction X applied to C([0,29]) ⊂ C([0,28]) based on
- linear OA(27109, 730, F27, 59) (dual of [730, 621, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound) [i]
- linear OA(27105, 730, F27, 57) (dual of [730, 625, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 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 OA(27109, 734, F27, 58) (dual of [734, 625, 59]-code) | [i] | Truncation | |
| 2 | Linear OOA(27110, 367, F27, 2, 59) (dual of [(367, 2), 624, 60]-NRT-code) | [i] | OOA Folding | |