Information on Result #1088062
Linear OOA(2222, 60, F2, 4, 139) (dual of [(60, 4), 18, 140]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(649, 12, F64, 9) (dual of [12, 3, 10]-code or 12-arc in PG(8,64)), using
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- Reed–Solomon code RS(55,64) [i]
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- linear OOA(214, 5, F2, 4, 13) (dual of [(5, 4), 6, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,6P) [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(2222, 60, F2, 4, 138) (dual of [(60, 4), 18, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2222, 60, F2, 4, 137) (dual of [(60, 4), 18, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(2222, 60, F2, 4, 136) (dual of [(60, 4), 18, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(2222, 60, F2, 4, 135) (dual of [(60, 4), 18, 136]-NRT-code) | [i] | ||
| 5 | Linear OOA(2222, 60, F2, 4, 134) (dual of [(60, 4), 18, 135]-NRT-code) | [i] | ||
| 6 | Linear OOA(2222, 60, F2, 4, 133) (dual of [(60, 4), 18, 134]-NRT-code) | [i] | ||
| 7 | Linear OOA(2226, 61, F2, 4, 139) (dual of [(61, 4), 18, 140]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(2223, 60, F2, 4, 139) (dual of [(60, 4), 17, 140]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2220, 59, F2, 4, 137) (dual of [(59, 4), 16, 138]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2219, 59, F2, 4, 136) (dual of [(59, 4), 17, 137]-NRT-code) | [i] | ||
| 11 | Linear OOA(2218, 59, F2, 4, 135) (dual of [(59, 4), 18, 136]-NRT-code) | [i] | ||
| 12 | Linear OOA(2216, 58, F2, 4, 133) (dual of [(58, 4), 16, 134]-NRT-code) | [i] | ||
| 13 | Linear OOA(2215, 58, F2, 4, 132) (dual of [(58, 4), 17, 133]-NRT-code) | [i] | ||
| 14 | Linear OOA(2214, 58, F2, 4, 131) (dual of [(58, 4), 18, 132]-NRT-code) | [i] | ||
| 15 | Linear OOA(2211, 57, F2, 4, 128) (dual of [(57, 4), 17, 129]-NRT-code) | [i] | ||
| 16 | Linear OOA(2210, 57, F2, 4, 127) (dual of [(57, 4), 18, 128]-NRT-code) | [i] | ||
| 17 | Linear OOA(2222, 30, F2, 8, 139) (dual of [(30, 8), 18, 140]-NRT-code) | [i] | OOA Folding | |