Information on Result #630102
Linear OA(276, 104, F2, 27) (dual of [104, 28, 28]-code), using concatenation of two codes based on
- linear OA(166, 13, F16, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), 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(276, 104, F2, 26) (dual of [104, 28, 27]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(275, 103, F2, 26) (dual of [103, 28, 27]-code) | [i] | Truncation | |
| 3 | Linear OOA(276, 52, F2, 2, 27) (dual of [(52, 2), 28, 28]-NRT-code) | [i] | OOA Folding | |