Information on Result #918169
Linear OOA(4214, 120, F4, 2, 139) (dual of [(120, 2), 26, 140]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1635, 24, F16, 2, 34) (dual of [(24, 2), 13, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,13P) [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(4214, 120, F4, 2, 138) (dual of [(120, 2), 26, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4216, 121, F4, 2, 139) (dual of [(121, 2), 26, 140]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4215, 120, F4, 2, 139) (dual of [(120, 2), 25, 140]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4213, 119, F4, 2, 138) (dual of [(119, 2), 25, 139]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4212, 119, F4, 2, 137) (dual of [(119, 2), 26, 138]-NRT-code) | [i] | ||
| 6 | Linear OOA(4211, 118, F4, 2, 136) (dual of [(118, 2), 25, 137]-NRT-code) | [i] | ||
| 7 | Linear OOA(4210, 118, F4, 2, 135) (dual of [(118, 2), 26, 136]-NRT-code) | [i] | ||
| 8 | Linear OOA(4209, 117, F4, 2, 134) (dual of [(117, 2), 25, 135]-NRT-code) | [i] | ||
| 9 | Linear OOA(4208, 117, F4, 2, 133) (dual of [(117, 2), 26, 134]-NRT-code) | [i] | ||
| 10 | Linear OOA(4207, 116, F4, 2, 132) (dual of [(116, 2), 25, 133]-NRT-code) | [i] | ||
| 11 | Linear OOA(4205, 115, F4, 2, 130) (dual of [(115, 2), 25, 131]-NRT-code) | [i] | ||
| 12 | Linear OOA(4203, 114, F4, 2, 128) (dual of [(114, 2), 25, 129]-NRT-code) | [i] | ||