Information on Result #2767483
Linear OOA(2248, 65, F2, 4, 172) (dual of [(65, 4), 12, 173]-NRT-code), using strength reduction based on linear OOA(2248, 65, F2, 4, 175) (dual of [(65, 4), 12, 176]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1610, 13, F16, 10) (dual of [13, 3, 11]-code or 13-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(216, 5, F2, 4, 15) (dual of [(5, 4), 4, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1610, 13, F16, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), 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(2252, 66, F2, 4, 172) (dual of [(66, 4), 12, 173]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2249, 65, F2, 4, 172) (dual of [(65, 4), 11, 173]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2247, 64, F2, 4, 171) (dual of [(64, 4), 9, 172]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2246, 64, F2, 4, 170) (dual of [(64, 4), 10, 171]-NRT-code) | [i] | ||
| 5 | Linear OOA(2245, 64, F2, 4, 169) (dual of [(64, 4), 11, 170]-NRT-code) | [i] | ||
| 6 | Linear OOA(2244, 64, F2, 4, 168) (dual of [(64, 4), 12, 169]-NRT-code) | [i] | ||
| 7 | Linear OOA(2242, 63, F2, 4, 166) (dual of [(63, 4), 10, 167]-NRT-code) | [i] | ||
| 8 | Linear OOA(2241, 63, F2, 4, 165) (dual of [(63, 4), 11, 166]-NRT-code) | [i] | ||
| 9 | Linear OOA(2240, 63, F2, 4, 164) (dual of [(63, 4), 12, 165]-NRT-code) | [i] | ||
| 10 | Linear OOA(2238, 62, F2, 4, 162) (dual of [(62, 4), 10, 163]-NRT-code) | [i] | ||
| 11 | Linear OOA(2237, 62, F2, 4, 161) (dual of [(62, 4), 11, 162]-NRT-code) | [i] | ||
| 12 | Linear OOA(2236, 62, F2, 4, 160) (dual of [(62, 4), 12, 161]-NRT-code) | [i] | ||
| 13 | Linear OOA(2234, 61, F2, 4, 158) (dual of [(61, 4), 10, 159]-NRT-code) | [i] | ||
| 14 | Linear OOA(2233, 61, F2, 4, 157) (dual of [(61, 4), 11, 158]-NRT-code) | [i] | ||
| 15 | Linear OOA(2232, 61, F2, 4, 156) (dual of [(61, 4), 12, 157]-NRT-code) | [i] | ||
| 16 | Linear OOA(2229, 60, F2, 4, 153) (dual of [(60, 4), 11, 154]-NRT-code) | [i] | ||
| 17 | Linear OOA(2226, 59, F2, 4, 150) (dual of [(59, 4), 10, 151]-NRT-code) | [i] | ||