Information on Result #1088011
Linear OOA(2210, 55, F2, 4, 149) (dual of [(55, 4), 10, 150]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(329, 11, F32, 9) (dual of [11, 2, 10]-code or 11-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- Reed–Solomon code RS(23,32) [i]
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- linear OOA(215, 5, F2, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;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(2210, 55, F2, 4, 148) (dual of [(55, 4), 10, 149]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2210, 55, F2, 4, 147) (dual of [(55, 4), 10, 148]-NRT-code) | [i] | ||
| 3 | Linear OOA(2210, 55, F2, 4, 146) (dual of [(55, 4), 10, 147]-NRT-code) | [i] | ||
| 4 | Linear OOA(2210, 55, F2, 4, 145) (dual of [(55, 4), 10, 146]-NRT-code) | [i] | ||
| 5 | Linear OOA(2210, 55, F2, 4, 144) (dual of [(55, 4), 10, 145]-NRT-code) | [i] | ||
| 6 | Linear OOA(2210, 55, F2, 4, 143) (dual of [(55, 4), 10, 144]-NRT-code) | [i] | ||
| 7 | Linear OOA(2210, 55, F2, 4, 142) (dual of [(55, 4), 10, 143]-NRT-code) | [i] | ||
| 8 | Linear OOA(2214, 56, F2, 4, 149) (dual of [(56, 4), 10, 150]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(2211, 55, F2, 4, 149) (dual of [(55, 4), 9, 150]-NRT-code) | [i] | OOA Duplication | |
| 10 | Linear OOA(2208, 54, F2, 4, 147) (dual of [(54, 4), 8, 148]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(2207, 54, F2, 4, 146) (dual of [(54, 4), 9, 147]-NRT-code) | [i] | ||
| 12 | Linear OOA(2206, 54, F2, 4, 145) (dual of [(54, 4), 10, 146]-NRT-code) | [i] | ||