Information on Result #1088063
Linear OOA(2256, 70, F2, 4, 153) (dual of [(70, 4), 24, 154]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(6410, 14, F64, 10) (dual of [14, 4, 11]-code or 14-arc in PG(9,64)), using
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- Reed–Solomon code RS(54,64) [i]
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- linear OOA(214, 5, F2, 4, 13) (dual of [(5, 4), 6, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,6P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2256, 70, F2, 4, 152) (dual of [(70, 4), 24, 153]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2256, 70, F2, 4, 151) (dual of [(70, 4), 24, 152]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 70, F2, 4, 150) (dual of [(70, 4), 24, 151]-NRT-code) | [i] | ||
| 4 | Linear OOA(2260, 71, F2, 4, 153) (dual of [(71, 4), 24, 154]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2257, 70, F2, 4, 153) (dual of [(70, 4), 23, 154]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2258, 70, F2, 4, 153) (dual of [(70, 4), 22, 154]-NRT-code) | [i] | ||
| 7 | Linear OOA(2255, 69, F2, 4, 152) (dual of [(69, 4), 21, 153]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2254, 69, F2, 4, 151) (dual of [(69, 4), 22, 152]-NRT-code) | [i] | ||
| 9 | Linear OOA(2253, 69, F2, 4, 150) (dual of [(69, 4), 23, 151]-NRT-code) | [i] | ||
| 10 | Linear OOA(2256, 35, F2, 8, 153) (dual of [(35, 8), 24, 154]-NRT-code) | [i] | OOA Folding | |