Information on Result #911963
Linear OOA(2138, 75, F2, 2, 77) (dual of [(75, 2), 12, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1612, 15, F16, 12) (dual of [15, 3, 13]-code or 15-arc in PG(11,16)), using
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- Reed–Solomon code RS(4,16) [i]
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), 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(2140, 76, F2, 2, 77) (dual of [(76, 2), 12, 78]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2139, 75, F2, 2, 77) (dual of [(75, 2), 11, 78]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2137, 74, F2, 2, 76) (dual of [(74, 2), 11, 77]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2136, 74, F2, 2, 75) (dual of [(74, 2), 12, 76]-NRT-code) | [i] | ||
| 5 | Linear OOA(2135, 73, F2, 2, 74) (dual of [(73, 2), 11, 75]-NRT-code) | [i] | ||
| 6 | Linear OOA(2134, 73, F2, 2, 73) (dual of [(73, 2), 12, 74]-NRT-code) | [i] | ||
| 7 | Linear OOA(2133, 72, F2, 2, 72) (dual of [(72, 2), 11, 73]-NRT-code) | [i] | ||
| 8 | Linear OOA(2131, 71, F2, 2, 70) (dual of [(71, 2), 11, 71]-NRT-code) | [i] | ||
| 9 | Linear OOA(2130, 71, F2, 2, 69) (dual of [(71, 2), 12, 70]-NRT-code) | [i] | ||
| 10 | Linear OOA(2129, 70, F2, 2, 68) (dual of [(70, 2), 11, 69]-NRT-code) | [i] | ||
| 11 | Linear OOA(2127, 69, F2, 2, 66) (dual of [(69, 2), 11, 67]-NRT-code) | [i] | ||
| 12 | Linear OOA(2138, 37, F2, 4, 77) (dual of [(37, 4), 10, 78]-NRT-code) | [i] | OOA Folding | |