Information on Result #911960
Linear OOA(2128, 70, F2, 2, 71) (dual of [(70, 2), 12, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1611, 14, F16, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- Reed–Solomon code RS(5,16) [i]
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), 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(2128, 70, F2, 2, 70) (dual of [(70, 2), 12, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2130, 71, F2, 2, 71) (dual of [(71, 2), 12, 72]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2129, 70, F2, 2, 71) (dual of [(70, 2), 11, 72]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2127, 69, F2, 2, 70) (dual of [(69, 2), 11, 71]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2126, 69, F2, 2, 69) (dual of [(69, 2), 12, 70]-NRT-code) | [i] | ||
| 6 | Linear OOA(2125, 68, F2, 2, 68) (dual of [(68, 2), 11, 69]-NRT-code) | [i] | ||
| 7 | Linear OOA(2124, 68, F2, 2, 67) (dual of [(68, 2), 12, 68]-NRT-code) | [i] | ||
| 8 | Linear OOA(2123, 67, F2, 2, 66) (dual of [(67, 2), 11, 67]-NRT-code) | [i] | ||
| 9 | Linear OOA(2122, 67, F2, 2, 65) (dual of [(67, 2), 12, 66]-NRT-code) | [i] | ||
| 10 | Linear OOA(2121, 66, F2, 2, 64) (dual of [(66, 2), 11, 65]-NRT-code) | [i] | ||
| 11 | Linear OOA(2119, 65, F2, 2, 62) (dual of [(65, 2), 11, 63]-NRT-code) | [i] | ||
| 12 | Linear OOA(2117, 64, F2, 2, 60) (dual of [(64, 2), 11, 61]-NRT-code) | [i] | ||
| 13 | Linear OOA(2128, 35, F2, 4, 71) (dual of [(35, 4), 12, 72]-NRT-code) | [i] | OOA Folding | |