Information on Result #912119
Linear OOA(2240, 135, F2, 2, 109) (dual of [(135, 2), 30, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3221, 27, F32, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,32)), using
- discarding factors / shortening the dual code based on linear OA(3221, 32, F32, 21) (dual of [32, 11, 22]-code or 32-arc in PG(20,32)), using
- Reed–Solomon code RS(11,32) [i]
- discarding factors / shortening the dual code based on linear OA(3221, 32, F32, 21) (dual of [32, 11, 22]-code or 32-arc in PG(20,32)), using
- linear OOA(25, 5, F2, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [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(2240, 135, F2, 2, 108) (dual of [(135, 2), 30, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2242, 136, F2, 2, 109) (dual of [(136, 2), 30, 110]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2241, 135, F2, 2, 109) (dual of [(135, 2), 29, 110]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2239, 134, F2, 2, 108) (dual of [(134, 2), 29, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2240, 67, F2, 4, 109) (dual of [(67, 4), 28, 110]-NRT-code) | [i] | OOA Folding | |