Information on Result #911166
Linear OOA(263, 36, F2, 2, 35) (dual of [(36, 2), 9, 36]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(89, 12, F8, 8) (dual of [12, 3, 9]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(88, 9, F8, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,8)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(86, 9, F8, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,8)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
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(263, 36, F2, 2, 34) (dual of [(36, 2), 9, 35]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(263, 36, F2, 2, 33) (dual of [(36, 2), 9, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(262, 35, F2, 2, 34) (dual of [(35, 2), 8, 35]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(259, 34, F2, 2, 31) (dual of [(34, 2), 9, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(258, 33, F2, 2, 30) (dual of [(33, 2), 8, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(257, 33, F2, 2, 29) (dual of [(33, 2), 9, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(263, 18, F2, 4, 35) (dual of [(18, 4), 9, 36]-NRT-code) | [i] | OOA Folding | |