Information on Result #2766174
Linear OOA(2228, 60, F2, 4, 157) (dual of [(60, 4), 12, 158]-NRT-code), using strength reduction based on linear OOA(2228, 60, F2, 4, 159) (dual of [(60, 4), 12, 160]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(169, 12, F16, 9) (dual of [12, 3, 10]-code or 12-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), 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(169, 12, F16, 9) (dual of [12, 3, 10]-code or 12-arc in PG(8,16)), 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(2229, 60, F2, 4, 157) (dual of [(60, 4), 11, 158]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2227, 59, F2, 4, 156) (dual of [(59, 4), 9, 157]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2226, 59, F2, 4, 155) (dual of [(59, 4), 10, 156]-NRT-code) | [i] | ||
| 4 | Linear OOA(2225, 59, F2, 4, 154) (dual of [(59, 4), 11, 155]-NRT-code) | [i] | ||
| 5 | Linear OOA(2224, 59, F2, 4, 153) (dual of [(59, 4), 12, 154]-NRT-code) | [i] | ||
| 6 | Linear OOA(2222, 58, F2, 4, 151) (dual of [(58, 4), 10, 152]-NRT-code) | [i] | ||
| 7 | Linear OOA(2221, 58, F2, 4, 150) (dual of [(58, 4), 11, 151]-NRT-code) | [i] | ||
| 8 | Linear OOA(2220, 58, F2, 4, 149) (dual of [(58, 4), 12, 150]-NRT-code) | [i] | ||
| 9 | Linear OOA(2217, 57, F2, 4, 146) (dual of [(57, 4), 11, 147]-NRT-code) | [i] | ||
| 10 | Linear OOA(2216, 57, F2, 4, 145) (dual of [(57, 4), 12, 146]-NRT-code) | [i] | ||
| 11 | Linear OOA(2213, 56, F2, 4, 142) (dual of [(56, 4), 11, 143]-NRT-code) | [i] | ||
| 12 | Linear OOA(2212, 56, F2, 4, 141) (dual of [(56, 4), 12, 142]-NRT-code) | [i] | ||
| 13 | Linear OOA(2208, 55, F2, 4, 137) (dual of [(55, 4), 12, 138]-NRT-code) | [i] | ||
| 14 | Linear OOA(2228, 30, F2, 8, 157) (dual of [(30, 8), 12, 158]-NRT-code) | [i] | OOA Folding | |