Information on Result #918193
Linear OOA(4226, 120, F4, 2, 163) (dual of [(120, 2), 14, 164]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1641, 24, F16, 2, 40) (dual of [(24, 2), 7, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
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(4226, 120, F4, 2, 162) (dual of [(120, 2), 14, 163]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4226, 120, F4, 2, 161) (dual of [(120, 2), 14, 162]-NRT-code) | [i] | ||
| 3 | Linear OOA(4226, 120, F4, 2, 160) (dual of [(120, 2), 14, 161]-NRT-code) | [i] | ||
| 4 | Linear OOA(4228, 121, F4, 2, 163) (dual of [(121, 2), 14, 164]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(4230, 122, F4, 2, 163) (dual of [(122, 2), 14, 164]-NRT-code) | [i] | ||
| 6 | Linear OOA(4227, 120, F4, 2, 163) (dual of [(120, 2), 13, 164]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(4225, 119, F4, 2, 162) (dual of [(119, 2), 13, 163]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(4224, 119, F4, 2, 161) (dual of [(119, 2), 14, 162]-NRT-code) | [i] | ||
| 9 | Linear OOA(4223, 118, F4, 2, 160) (dual of [(118, 2), 13, 161]-NRT-code) | [i] | ||
| 10 | Linear OOA(4222, 118, F4, 2, 159) (dual of [(118, 2), 14, 160]-NRT-code) | [i] | ||
| 11 | Linear OOA(4221, 117, F4, 2, 158) (dual of [(117, 2), 13, 159]-NRT-code) | [i] | ||
| 12 | Linear OOA(4220, 117, F4, 2, 157) (dual of [(117, 2), 14, 158]-NRT-code) | [i] | ||
| 13 | Linear OOA(4219, 116, F4, 2, 156) (dual of [(116, 2), 13, 157]-NRT-code) | [i] | ||
| 14 | Linear OOA(4218, 116, F4, 2, 155) (dual of [(116, 2), 14, 156]-NRT-code) | [i] | ||
| 15 | Linear OOA(4217, 115, F4, 2, 154) (dual of [(115, 2), 13, 155]-NRT-code) | [i] | ||
| 16 | Linear OOA(4215, 114, F4, 2, 152) (dual of [(114, 2), 13, 153]-NRT-code) | [i] | ||