Information on Result #2796148
Linear OOA(2252, 66, F2, 4, 175) (dual of [(66, 4), 12, 176]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2248, 65, F2, 4, 175) (dual of [(65, 4), 12, 176]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1610, 13, F16, 10) (dual of [13, 3, 11]-code or 13-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 OOA(216, 5, F2, 4, 15) (dual of [(5, 4), 4, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1610, 13, F16, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), 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(2253, 66, F2, 4, 175) (dual of [(66, 4), 11, 176]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2254, 66, F2, 4, 175) (dual of [(66, 4), 10, 176]-NRT-code) | [i] | ||
| 3 | Linear OOA(2252, 33, F2, 8, 175) (dual of [(33, 8), 12, 176]-NRT-code) | [i] | OOA Folding | |