Information on Result #2618155
Linear OOA(2232, 80, F2, 3, 163) (dual of [(80, 3), 8, 164]-NRT-code), using strength reduction based on linear OOA(2232, 80, F2, 3, 164) (dual of [(80, 3), 8, 165]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1614, 16, F16, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), using
- Reed–Solomon code RS(2,16) [i]
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1614, 16, F16, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), 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(2233, 80, F2, 3, 163) (dual of [(80, 3), 7, 164]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2231, 79, F2, 3, 162) (dual of [(79, 3), 6, 163]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2230, 79, F2, 3, 161) (dual of [(79, 3), 7, 162]-NRT-code) | [i] | ||
| 4 | Linear OOA(2229, 79, F2, 3, 160) (dual of [(79, 3), 8, 161]-NRT-code) | [i] | ||
| 5 | Linear OOA(2227, 78, F2, 3, 158) (dual of [(78, 3), 7, 159]-NRT-code) | [i] | ||
| 6 | Linear OOA(2226, 78, F2, 3, 157) (dual of [(78, 3), 8, 158]-NRT-code) | [i] | ||
| 7 | Linear OOA(2224, 77, F2, 3, 155) (dual of [(77, 3), 7, 156]-NRT-code) | [i] | ||
| 8 | Linear OOA(2223, 77, F2, 3, 154) (dual of [(77, 3), 8, 155]-NRT-code) | [i] | ||
| 9 | Linear OOA(2221, 76, F2, 3, 152) (dual of [(76, 3), 7, 153]-NRT-code) | [i] | ||
| 10 | Linear OOA(2220, 76, F2, 3, 151) (dual of [(76, 3), 8, 152]-NRT-code) | [i] | ||
| 11 | Linear OOA(2218, 75, F2, 3, 149) (dual of [(75, 3), 7, 150]-NRT-code) | [i] | ||
| 12 | Linear OOA(2216, 74, F2, 3, 147) (dual of [(74, 3), 6, 148]-NRT-code) | [i] | ||
| 13 | Linear OOA(2215, 74, F2, 3, 146) (dual of [(74, 3), 7, 147]-NRT-code) | [i] | ||
| 14 | Linear OOA(2214, 74, F2, 3, 145) (dual of [(74, 3), 8, 146]-NRT-code) | [i] | ||
| 15 | Linear OOA(2213, 73, F2, 3, 144) (dual of [(73, 3), 6, 145]-NRT-code) | [i] | ||
| 16 | Linear OOA(2212, 73, F2, 3, 143) (dual of [(73, 3), 7, 144]-NRT-code) | [i] | ||
| 17 | Linear OOA(2211, 73, F2, 3, 142) (dual of [(73, 3), 8, 143]-NRT-code) | [i] | ||
| 18 | Linear OOA(2209, 72, F2, 3, 140) (dual of [(72, 3), 7, 141]-NRT-code) | [i] | ||
| 19 | Linear OOA(2208, 72, F2, 3, 139) (dual of [(72, 3), 8, 140]-NRT-code) | [i] | ||
| 20 | Linear OOA(2232, 40, F2, 6, 163) (dual of [(40, 6), 8, 164]-NRT-code) | [i] | OOA Folding | |