Information on Result #630119
Linear OA(296, 112, F2, 43) (dual of [112, 16, 44]-code), using concatenation of two codes based on
- linear OA(1610, 14, F16, 10) (dual of [14, 4, 11]-code or 14-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(296, 112, F2, 42) (dual of [112, 16, 43]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(296, 112, F2, 41) (dual of [112, 16, 42]-code) | [i] | ||
| 3 | Linear OA(297, 113, F2, 43) (dual of [113, 16, 44]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(298, 114, F2, 43) (dual of [114, 16, 44]-code) | [i] | ||
| 5 | Linear OA(295, 111, F2, 42) (dual of [111, 16, 43]-code) | [i] | Truncation | |
| 6 | Linear OA(294, 110, F2, 41) (dual of [110, 16, 42]-code) | [i] | ||
| 7 | Linear OA(293, 109, F2, 40) (dual of [109, 16, 41]-code) | [i] | ||
| 8 | Linear OOA(296, 56, F2, 2, 43) (dual of [(56, 2), 16, 44]-NRT-code) | [i] | OOA Folding | |