Information on Result #911949
Linear OOA(2120, 70, F2, 2, 59) (dual of [(70, 2), 20, 60]-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(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;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(2120, 70, F2, 2, 58) (dual of [(70, 2), 20, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2120, 70, F2, 2, 57) (dual of [(70, 2), 20, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(2120, 70, F2, 2, 56) (dual of [(70, 2), 20, 57]-NRT-code) | [i] | ||
| 4 | Linear OOA(2122, 71, F2, 2, 59) (dual of [(71, 2), 20, 60]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2121, 70, F2, 2, 59) (dual of [(70, 2), 19, 60]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2119, 69, F2, 2, 58) (dual of [(69, 2), 19, 59]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2118, 69, F2, 2, 57) (dual of [(69, 2), 20, 58]-NRT-code) | [i] | ||
| 8 | Linear OOA(2117, 68, F2, 2, 56) (dual of [(68, 2), 19, 57]-NRT-code) | [i] | ||
| 9 | Linear OOA(2116, 68, F2, 2, 55) (dual of [(68, 2), 20, 56]-NRT-code) | [i] | ||
| 10 | Linear OOA(2115, 67, F2, 2, 54) (dual of [(67, 2), 19, 55]-NRT-code) | [i] | ||
| 11 | Linear OOA(2114, 67, F2, 2, 53) (dual of [(67, 2), 20, 54]-NRT-code) | [i] | ||
| 12 | Linear OOA(2113, 66, F2, 2, 52) (dual of [(66, 2), 19, 53]-NRT-code) | [i] | ||
| 13 | Linear OOA(2112, 66, F2, 2, 51) (dual of [(66, 2), 20, 52]-NRT-code) | [i] | ||
| 14 | Linear OOA(2120, 35, F2, 4, 59) (dual of [(35, 4), 20, 60]-NRT-code) | [i] | OOA Folding | |