Information on Result #1028927
Linear OOA(2225, 85, F2, 3, 119) (dual of [(85, 3), 30, 120]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3211, 17, F32, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,32)), using
- discarding factors / shortening the dual code based on linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
- Reed–Solomon code RS(21,32) [i]
- discarding factors / shortening the dual code based on linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [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(2225, 85, F2, 3, 118) (dual of [(85, 3), 30, 119]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2225, 85, F2, 3, 117) (dual of [(85, 3), 30, 118]-NRT-code) | [i] | ||
| 3 | Linear OOA(2225, 85, F2, 3, 116) (dual of [(85, 3), 30, 117]-NRT-code) | [i] | ||
| 4 | Linear OOA(2225, 85, F2, 3, 115) (dual of [(85, 3), 30, 116]-NRT-code) | [i] | ||
| 5 | Linear OOA(2225, 85, F2, 3, 114) (dual of [(85, 3), 30, 115]-NRT-code) | [i] | ||
| 6 | Linear OOA(2228, 86, F2, 3, 119) (dual of [(86, 3), 30, 120]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2226, 85, F2, 3, 119) (dual of [(85, 3), 29, 120]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2223, 84, F2, 3, 117) (dual of [(84, 3), 29, 118]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2222, 84, F2, 3, 116) (dual of [(84, 3), 30, 117]-NRT-code) | [i] | ||
| 10 | Linear OOA(2221, 83, F2, 3, 115) (dual of [(83, 3), 28, 116]-NRT-code) | [i] | ||
| 11 | Linear OOA(2220, 83, F2, 3, 114) (dual of [(83, 3), 29, 115]-NRT-code) | [i] | ||
| 12 | Linear OOA(2219, 83, F2, 3, 113) (dual of [(83, 3), 30, 114]-NRT-code) | [i] | ||
| 13 | Linear OOA(2218, 82, F2, 3, 112) (dual of [(82, 3), 28, 113]-NRT-code) | [i] | ||
| 14 | Linear OOA(2216, 82, F2, 3, 110) (dual of [(82, 3), 30, 111]-NRT-code) | [i] | ||