Information on Result #1088079
Linear OOA(2259, 70, F2, 4, 155) (dual of [(70, 4), 21, 156]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(12811, 14, F128, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,128)), using
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- Reed–Solomon code RS(117,128) [i]
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- linear OOA(213, 5, F2, 4, 12) (dual of [(5, 4), 7, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,7P) [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(2259, 70, F2, 4, 154) (dual of [(70, 4), 21, 155]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2259, 70, F2, 4, 153) (dual of [(70, 4), 21, 154]-NRT-code) | [i] | ||
| 3 | Linear OOA(2259, 70, F2, 4, 152) (dual of [(70, 4), 21, 153]-NRT-code) | [i] | ||
| 4 | Linear OOA(2258, 69, F2, 4, 154) (dual of [(69, 4), 18, 155]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2259, 35, F2, 8, 155) (dual of [(35, 8), 21, 156]-NRT-code) | [i] | OOA Folding | |