Information on Result #634975
Linear OA(4107, 115, F4, 75) (dual of [115, 8, 76]-code), using concatenation of two codes based on
- linear OA(1619, 23, F16, 18) (dual of [23, 4, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), 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(4107, 115, F4, 74) (dual of [115, 8, 75]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4107, 115, F4, 73) (dual of [115, 8, 74]-code) | [i] | ||
| 3 | Linear OA(4106, 114, F4, 74) (dual of [114, 8, 75]-code) | [i] | Truncation | |
| 4 | Linear OA(4105, 113, F4, 73) (dual of [113, 8, 74]-code) | [i] | ||
| 5 | Linear OA(4104, 112, F4, 72) (dual of [112, 8, 73]-code) | [i] | ||
| 6 | Linear OA(4103, 111, F4, 71) (dual of [111, 8, 72]-code) | [i] | ||
| 7 | Linear OA(4101, 109, F4, 69) (dual of [109, 8, 70]-code) | [i] | ||
| 8 | Linear OA(4100, 108, F4, 68) (dual of [108, 8, 69]-code) | [i] | ||
| 9 | Linear OA(499, 107, F4, 67) (dual of [107, 8, 68]-code) | [i] | ||
| 10 | Linear OA(498, 106, F4, 66) (dual of [106, 8, 67]-code) | [i] | ||
| 11 | Linear OA(496, 104, F4, 64) (dual of [104, 8, 65]-code) | [i] | ||
| 12 | Linear OA(4168, 175, F4, 116) (dual of [175, 7, 117]-code) | [i] | Juxtaposition | |
| 13 | Linear OA(4169, 176, F4, 117) (dual of [176, 7, 118]-code) | [i] | ||
| 14 | Linear OA(4170, 177, F4, 118) (dual of [177, 7, 119]-code) | [i] | ||
| 15 | Linear OA(4171, 178, F4, 119) (dual of [178, 7, 120]-code) | [i] | ||
| 16 | Linear OOA(4107, 38, F4, 3, 75) (dual of [(38, 3), 7, 76]-NRT-code) | [i] | OOA Folding | |