Information on Result #634977
Linear OA(4112, 120, F4, 79) (dual of [120, 8, 80]-code), using concatenation of two codes based on
- linear OA(1620, 24, F16, 19) (dual of [24, 4, 20]-code), using
- extended algebraic-geometric code AGe(F,4P) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4112, 120, F4, 78) (dual of [120, 8, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4113, 121, F4, 79) (dual of [121, 8, 80]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4111, 119, F4, 78) (dual of [119, 8, 79]-code) | [i] | Truncation | |
| 4 | Linear OA(4110, 118, F4, 77) (dual of [118, 8, 78]-code) | [i] | ||
| 5 | Linear OA(4109, 117, F4, 76) (dual of [117, 8, 77]-code) | [i] | ||
| 6 | Linear OA(4108, 116, F4, 75) (dual of [116, 8, 76]-code) | [i] | ||
| 7 | Linear OA(4106, 114, F4, 73) (dual of [114, 8, 74]-code) | [i] | ||
| 8 | Linear OA(4105, 113, F4, 72) (dual of [113, 8, 73]-code) | [i] | ||
| 9 | Linear OA(4104, 112, F4, 71) (dual of [112, 8, 72]-code) | [i] | ||
| 10 | Linear OA(4103, 111, F4, 70) (dual of [111, 8, 71]-code) | [i] | ||
| 11 | Linear OA(4101, 109, F4, 68) (dual of [109, 8, 69]-code) | [i] | ||
| 12 | Linear OA(4173, 180, F4, 120) (dual of [180, 7, 121]-code) | [i] | Juxtaposition | |
| 13 | Linear OA(4174, 181, F4, 121) (dual of [181, 7, 122]-code) | [i] | ||
| 14 | Linear OA(4175, 182, F4, 122) (dual of [182, 7, 123]-code) | [i] | ||
| 15 | Linear OA(4176, 183, F4, 123) (dual of [183, 7, 124]-code) | [i] | ||
| 16 | Linear OOA(4112, 60, F4, 2, 79) (dual of [(60, 2), 8, 80]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(4112, 40, F4, 3, 79) (dual of [(40, 3), 8, 80]-NRT-code) | [i] | ||