Information on Result #1087852
Linear OOA(2260, 68, F2, 4, 179) (dual of [(68, 4), 12, 180]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1614, 17, F16, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,16)), using
- extended Reed–Solomon code RSe(3,16) [i]
- linear OOA(212, 4, F2, 4, 11) (dual of [(4, 4), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,8P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), 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(2260, 68, F2, 4, 178) (dual of [(68, 4), 12, 179]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2260, 68, F2, 4, 177) (dual of [(68, 4), 12, 178]-NRT-code) | [i] | ||
| 3 | Linear OOA(2260, 68, F2, 4, 176) (dual of [(68, 4), 12, 177]-NRT-code) | [i] | ||
| 4 | Linear OOA(2260, 68, F2, 4, 175) (dual of [(68, 4), 12, 176]-NRT-code) | [i] | ||
| 5 | Linear OOA(2260, 68, F2, 4, 174) (dual of [(68, 4), 12, 175]-NRT-code) | [i] | ||
| 6 | Linear OOA(2260, 68, F2, 4, 173) (dual of [(68, 4), 12, 174]-NRT-code) | [i] | ||
| 7 | Linear OOA(2260, 68, F2, 4, 172) (dual of [(68, 4), 12, 173]-NRT-code) | [i] | ||
| 8 | Linear OOA(2260, 68, F2, 4, 171) (dual of [(68, 4), 12, 172]-NRT-code) | [i] | ||
| 9 | Linear OOA(2258, 67, F2, 4, 177) (dual of [(67, 4), 10, 178]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2257, 67, F2, 4, 176) (dual of [(67, 4), 11, 177]-NRT-code) | [i] | ||
| 11 | Linear OOA(2256, 67, F2, 4, 175) (dual of [(67, 4), 12, 176]-NRT-code) | [i] | ||
| 12 | Linear OOA(2254, 66, F2, 4, 173) (dual of [(66, 4), 10, 174]-NRT-code) | [i] | ||
| 13 | Linear OOA(2253, 66, F2, 4, 172) (dual of [(66, 4), 11, 173]-NRT-code) | [i] | ||
| 14 | Linear OOA(2252, 66, F2, 4, 171) (dual of [(66, 4), 12, 172]-NRT-code) | [i] | ||
| 15 | Linear OOA(2249, 65, F2, 4, 168) (dual of [(65, 4), 11, 169]-NRT-code) | [i] | ||
| 16 | Linear OOA(2246, 64, F2, 4, 165) (dual of [(64, 4), 10, 166]-NRT-code) | [i] | ||
| 17 | Linear OOA(2260, 34, F2, 8, 179) (dual of [(34, 8), 12, 180]-NRT-code) | [i] | OOA Folding | |