Information on Result #911953
Linear OOA(2130, 75, F2, 2, 65) (dual of [(75, 2), 20, 66]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 15, F16, 10) (dual of [15, 5, 11]-code or 15-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), 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(2130, 75, F2, 2, 64) (dual of [(75, 2), 20, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2130, 75, F2, 2, 63) (dual of [(75, 2), 20, 64]-NRT-code) | [i] | ||
| 3 | Linear OOA(2130, 75, F2, 2, 62) (dual of [(75, 2), 20, 63]-NRT-code) | [i] | ||
| 4 | Linear OOA(2130, 75, F2, 2, 61) (dual of [(75, 2), 20, 62]-NRT-code) | [i] | ||
| 5 | Linear OOA(2130, 75, F2, 2, 60) (dual of [(75, 2), 20, 61]-NRT-code) | [i] | ||
| 6 | Linear OOA(2132, 76, F2, 2, 65) (dual of [(76, 2), 20, 66]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2131, 75, F2, 2, 65) (dual of [(75, 2), 19, 66]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2129, 74, F2, 2, 64) (dual of [(74, 2), 19, 65]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2128, 74, F2, 2, 63) (dual of [(74, 2), 20, 64]-NRT-code) | [i] | ||
| 10 | Linear OOA(2127, 73, F2, 2, 62) (dual of [(73, 2), 19, 63]-NRT-code) | [i] | ||
| 11 | Linear OOA(2126, 73, F2, 2, 61) (dual of [(73, 2), 20, 62]-NRT-code) | [i] | ||
| 12 | Linear OOA(2125, 72, F2, 2, 60) (dual of [(72, 2), 19, 61]-NRT-code) | [i] | ||
| 13 | Linear OOA(2124, 72, F2, 2, 59) (dual of [(72, 2), 20, 60]-NRT-code) | [i] | ||
| 14 | Linear OOA(2130, 37, F2, 4, 65) (dual of [(37, 4), 18, 66]-NRT-code) | [i] | OOA Folding | |