Information on Result #695604
Linear OA(27108, 733, F27, 58) (dual of [733, 625, 59]-code), using construction X applied to Ce(57) ⊂ Ce(55) 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(27104, 729, F27, 56) (dual of [729, 625, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [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 OA(27107, 732, F27, 57) (dual of [732, 625, 58]-code) | [i] | Truncation | |
| 2 | Linear OOA(27108, 366, F27, 2, 58) (dual of [(366, 2), 624, 59]-NRT-code) | [i] | OOA Folding | |