Information on Result #912020
Linear OOA(2256, 140, F2, 2, 125) (dual of [(140, 2), 24, 126]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1622, 28, F16, 20) (dual of [28, 6, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1622, 33, F16, 20) (dual of [33, 11, 21]-code), using
- extended algebraic-geometric code AGe(F,12P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1622, 33, F16, 20) (dual of [33, 11, 21]-code), 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(2256, 140, F2, 2, 124) (dual of [(140, 2), 24, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2256, 140, F2, 2, 123) (dual of [(140, 2), 24, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 140, F2, 2, 122) (dual of [(140, 2), 24, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(2256, 140, F2, 2, 121) (dual of [(140, 2), 24, 122]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 140, F2, 2, 120) (dual of [(140, 2), 24, 121]-NRT-code) | [i] | ||
| 6 | Linear OOA(2258, 141, F2, 2, 125) (dual of [(141, 2), 24, 126]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2260, 142, F2, 2, 125) (dual of [(142, 2), 24, 126]-NRT-code) | [i] | ||
| 8 | Linear OOA(2257, 140, F2, 2, 125) (dual of [(140, 2), 23, 126]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2255, 139, F2, 2, 124) (dual of [(139, 2), 23, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2254, 139, F2, 2, 123) (dual of [(139, 2), 24, 124]-NRT-code) | [i] | ||
| 11 | Linear OOA(2253, 138, F2, 2, 122) (dual of [(138, 2), 23, 123]-NRT-code) | [i] | ||
| 12 | Linear OOA(2252, 138, F2, 2, 121) (dual of [(138, 2), 24, 122]-NRT-code) | [i] | ||
| 13 | Linear OOA(2251, 137, F2, 2, 120) (dual of [(137, 2), 23, 121]-NRT-code) | [i] | ||
| 14 | Linear OOA(2250, 137, F2, 2, 119) (dual of [(137, 2), 24, 120]-NRT-code) | [i] | ||
| 15 | Linear OOA(2249, 136, F2, 2, 118) (dual of [(136, 2), 23, 119]-NRT-code) | [i] | ||
| 16 | Linear OOA(2248, 136, F2, 2, 117) (dual of [(136, 2), 24, 118]-NRT-code) | [i] | ||
| 17 | Linear OOA(2256, 70, F2, 4, 125) (dual of [(70, 4), 24, 126]-NRT-code) | [i] | OOA Folding | |