Information on Result #1087861
Linear OOA(2248, 65, F2, 4, 175) (dual of [(65, 4), 12, 176]-NRT-code), using concatenation of two NRT-codes 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
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(2248, 65, F2, 4, 174) (dual of [(65, 4), 12, 175]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2248, 65, F2, 4, 173) (dual of [(65, 4), 12, 174]-NRT-code) | [i] | ||
| 3 | Linear OOA(2248, 65, F2, 4, 172) (dual of [(65, 4), 12, 173]-NRT-code) | [i] | ||
| 4 | Linear OOA(2248, 65, F2, 4, 171) (dual of [(65, 4), 12, 172]-NRT-code) | [i] | ||
| 5 | Linear OOA(2248, 65, F2, 4, 170) (dual of [(65, 4), 12, 171]-NRT-code) | [i] | ||
| 6 | Linear OOA(2248, 65, F2, 4, 169) (dual of [(65, 4), 12, 170]-NRT-code) | [i] | ||
| 7 | Linear OOA(2248, 65, F2, 4, 168) (dual of [(65, 4), 12, 169]-NRT-code) | [i] | ||
| 8 | Linear OOA(2248, 65, F2, 4, 167) (dual of [(65, 4), 12, 168]-NRT-code) | [i] | ||
| 9 | Linear OOA(2248, 65, F2, 4, 166) (dual of [(65, 4), 12, 167]-NRT-code) | [i] | ||
| 10 | Linear OOA(2248, 65, F2, 4, 165) (dual of [(65, 4), 12, 166]-NRT-code) | [i] | ||
| 11 | Linear OOA(2248, 65, F2, 4, 164) (dual of [(65, 4), 12, 165]-NRT-code) | [i] | ||
| 12 | Linear OOA(2248, 65, F2, 4, 163) (dual of [(65, 4), 12, 164]-NRT-code) | [i] | ||
| 13 | Linear OOA(2248, 65, F2, 4, 162) (dual of [(65, 4), 12, 163]-NRT-code) | [i] | ||
| 14 | Linear OOA(2252, 66, F2, 4, 175) (dual of [(66, 4), 12, 176]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 15 | Linear OOA(2249, 65, F2, 4, 175) (dual of [(65, 4), 11, 176]-NRT-code) | [i] | OOA Duplication | |
| 16 | Linear OOA(2247, 64, F2, 4, 174) (dual of [(64, 4), 9, 175]-NRT-code) | [i] | Truncation for OOAs | |
| 17 | Linear OOA(2246, 64, F2, 4, 173) (dual of [(64, 4), 10, 174]-NRT-code) | [i] | ||
| 18 | Linear OOA(2245, 64, F2, 4, 172) (dual of [(64, 4), 11, 173]-NRT-code) | [i] | ||
| 19 | Linear OOA(2244, 64, F2, 4, 171) (dual of [(64, 4), 12, 172]-NRT-code) | [i] | ||
| 20 | Linear OOA(2243, 63, F2, 4, 170) (dual of [(63, 4), 9, 171]-NRT-code) | [i] | ||
| 21 | Linear OOA(2242, 63, F2, 4, 169) (dual of [(63, 4), 10, 170]-NRT-code) | [i] | ||
| 22 | Linear OOA(2241, 63, F2, 4, 168) (dual of [(63, 4), 11, 169]-NRT-code) | [i] | ||
| 23 | Linear OOA(2240, 63, F2, 4, 167) (dual of [(63, 4), 12, 168]-NRT-code) | [i] | ||
| 24 | Linear OOA(2239, 62, F2, 4, 166) (dual of [(62, 4), 9, 167]-NRT-code) | [i] | ||
| 25 | Linear OOA(2238, 62, F2, 4, 165) (dual of [(62, 4), 10, 166]-NRT-code) | [i] | ||
| 26 | Linear OOA(2237, 62, F2, 4, 164) (dual of [(62, 4), 11, 165]-NRT-code) | [i] | ||
| 27 | Linear OOA(2236, 62, F2, 4, 163) (dual of [(62, 4), 12, 164]-NRT-code) | [i] | ||
| 28 | Linear OOA(2235, 61, F2, 4, 162) (dual of [(61, 4), 9, 163]-NRT-code) | [i] | ||
| 29 | Linear OOA(2234, 61, F2, 4, 161) (dual of [(61, 4), 10, 162]-NRT-code) | [i] | ||
| 30 | Linear OOA(2233, 61, F2, 4, 160) (dual of [(61, 4), 11, 161]-NRT-code) | [i] | ||
| 31 | Linear OOA(2232, 61, F2, 4, 159) (dual of [(61, 4), 12, 160]-NRT-code) | [i] | ||
| 32 | Linear OOA(2229, 60, F2, 4, 156) (dual of [(60, 4), 11, 157]-NRT-code) | [i] | ||
| 33 | Linear OOA(2226, 59, F2, 4, 153) (dual of [(59, 4), 10, 154]-NRT-code) | [i] | ||
| 34 | Linear OOA(2225, 59, F2, 4, 152) (dual of [(59, 4), 11, 153]-NRT-code) | [i] | ||
| 35 | Linear OOA(2224, 59, F2, 4, 151) (dual of [(59, 4), 12, 152]-NRT-code) | [i] | ||
| 36 | Linear OOA(2221, 58, F2, 4, 148) (dual of [(58, 4), 11, 149]-NRT-code) | [i] | ||
| 37 | Linear OOA(2220, 58, F2, 4, 147) (dual of [(58, 4), 12, 148]-NRT-code) | [i] | ||
| 38 | Linear OOA(2216, 57, F2, 4, 143) (dual of [(57, 4), 12, 144]-NRT-code) | [i] | ||
| 39 | Linear OOA(2212, 56, F2, 4, 139) (dual of [(56, 4), 12, 140]-NRT-code) | [i] | ||