Information on Result #622104
Linear OA(2728, 31, F27, 27) (dual of [31, 3, 28]-code), using construction X applied to C1 ⊂ C0 based on
- linear OA(2727, 28, F27, 27) (dual of [28, 1, 28]-code or 28-arc in PG(26,27)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(2725, 28, F27, 25) (dual of [28, 3, 26]-code or 28-arc in PG(24,27)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(271, 3, F27, 1) (dual of [3, 2, 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(3239, 124, F3, 2, 167) (dual of [(124, 2), 9, 168]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |