Information on Result #1028654
Linear OOA(2190, 70, F2, 3, 109) (dual of [(70, 3), 20, 110]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(169, 14, F16, 9) (dual of [14, 5, 10]-code or 14-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [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(2190, 70, F2, 3, 108) (dual of [(70, 3), 20, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2190, 70, F2, 3, 107) (dual of [(70, 3), 20, 108]-NRT-code) | [i] | ||
| 3 | Linear OOA(2190, 70, F2, 3, 106) (dual of [(70, 3), 20, 107]-NRT-code) | [i] | ||
| 4 | Linear OOA(2191, 70, F2, 3, 109) (dual of [(70, 3), 19, 110]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2189, 69, F2, 3, 108) (dual of [(69, 3), 18, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2188, 69, F2, 3, 107) (dual of [(69, 3), 19, 108]-NRT-code) | [i] | ||
| 7 | Linear OOA(2186, 68, F2, 3, 105) (dual of [(68, 3), 18, 106]-NRT-code) | [i] | ||
| 8 | Linear OOA(2185, 68, F2, 3, 104) (dual of [(68, 3), 19, 105]-NRT-code) | [i] | ||
| 9 | Linear OOA(2184, 68, F2, 3, 103) (dual of [(68, 3), 20, 104]-NRT-code) | [i] | ||
| 10 | Linear OOA(2183, 67, F2, 3, 102) (dual of [(67, 3), 18, 103]-NRT-code) | [i] | ||
| 11 | Linear OOA(2182, 67, F2, 3, 101) (dual of [(67, 3), 19, 102]-NRT-code) | [i] | ||
| 12 | Linear OOA(2181, 67, F2, 3, 100) (dual of [(67, 3), 20, 101]-NRT-code) | [i] | ||
| 13 | Linear OOA(2180, 66, F2, 3, 99) (dual of [(66, 3), 18, 100]-NRT-code) | [i] | ||
| 14 | Linear OOA(2179, 66, F2, 3, 98) (dual of [(66, 3), 19, 99]-NRT-code) | [i] | ||
| 15 | Linear OOA(2177, 65, F2, 3, 96) (dual of [(65, 3), 18, 97]-NRT-code) | [i] | ||
| 16 | Linear OOA(2190, 35, F2, 6, 109) (dual of [(35, 6), 20, 110]-NRT-code) | [i] | OOA Folding | |