Information on Result #1088015
Linear OOA(2250, 65, F2, 4, 179) (dual of [(65, 4), 10, 180]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3211, 13, F32, 11) (dual of [13, 2, 12]-code or 13-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(215, 5, F2, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;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(2250, 65, F2, 4, 178) (dual of [(65, 4), 10, 179]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2250, 65, F2, 4, 177) (dual of [(65, 4), 10, 178]-NRT-code) | [i] | ||
| 3 | Linear OOA(2250, 65, F2, 4, 176) (dual of [(65, 4), 10, 177]-NRT-code) | [i] | ||
| 4 | Linear OOA(2250, 65, F2, 4, 175) (dual of [(65, 4), 10, 176]-NRT-code) | [i] | ||
| 5 | Linear OOA(2250, 65, F2, 4, 174) (dual of [(65, 4), 10, 175]-NRT-code) | [i] | ||
| 6 | Linear OOA(2250, 65, F2, 4, 173) (dual of [(65, 4), 10, 174]-NRT-code) | [i] | ||
| 7 | Linear OOA(2250, 65, F2, 4, 172) (dual of [(65, 4), 10, 173]-NRT-code) | [i] | ||
| 8 | Linear OOA(2250, 65, F2, 4, 171) (dual of [(65, 4), 10, 172]-NRT-code) | [i] | ||
| 9 | Linear OOA(2250, 65, F2, 4, 170) (dual of [(65, 4), 10, 171]-NRT-code) | [i] | ||
| 10 | Linear OOA(2250, 65, F2, 4, 169) (dual of [(65, 4), 10, 170]-NRT-code) | [i] | ||
| 11 | Linear OOA(2250, 65, F2, 4, 168) (dual of [(65, 4), 10, 169]-NRT-code) | [i] | ||
| 12 | Linear OOA(2254, 66, F2, 4, 179) (dual of [(66, 4), 10, 180]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 13 | Linear OOA(2258, 67, F2, 4, 179) (dual of [(67, 4), 10, 180]-NRT-code) | [i] | ||
| 14 | Linear OOA(2251, 65, F2, 4, 179) (dual of [(65, 4), 9, 180]-NRT-code) | [i] | OOA Duplication | |
| 15 | Linear OOA(2247, 64, F2, 4, 176) (dual of [(64, 4), 9, 177]-NRT-code) | [i] | Truncation for OOAs | |
| 16 | Linear OOA(2246, 64, F2, 4, 175) (dual of [(64, 4), 10, 176]-NRT-code) | [i] | ||
| 17 | Linear OOA(2244, 63, F2, 4, 173) (dual of [(63, 4), 8, 174]-NRT-code) | [i] | ||
| 18 | Linear OOA(2243, 63, F2, 4, 172) (dual of [(63, 4), 9, 173]-NRT-code) | [i] | ||
| 19 | Linear OOA(2242, 63, F2, 4, 171) (dual of [(63, 4), 10, 172]-NRT-code) | [i] | ||
| 20 | Linear OOA(2240, 62, F2, 4, 169) (dual of [(62, 4), 8, 170]-NRT-code) | [i] | ||
| 21 | Linear OOA(2239, 62, F2, 4, 168) (dual of [(62, 4), 9, 169]-NRT-code) | [i] | ||
| 22 | Linear OOA(2238, 62, F2, 4, 167) (dual of [(62, 4), 10, 168]-NRT-code) | [i] | ||
| 23 | Linear OOA(2236, 61, F2, 4, 165) (dual of [(61, 4), 8, 166]-NRT-code) | [i] | ||
| 24 | Linear OOA(2235, 61, F2, 4, 164) (dual of [(61, 4), 9, 165]-NRT-code) | [i] | ||
| 25 | Linear OOA(2234, 61, F2, 4, 163) (dual of [(61, 4), 10, 164]-NRT-code) | [i] | ||
| 26 | Linear OOA(2231, 60, F2, 4, 160) (dual of [(60, 4), 9, 161]-NRT-code) | [i] | ||