Information on Result #634593
Linear OA(4110, 124, F4, 68) (dual of [124, 14, 69]-code), using concatenation of two codes based on
- linear OA(1624, 31, F16, 22) (dual of [31, 7, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(1624, 33, F16, 22) (dual of [33, 9, 23]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1624, 33, F16, 22) (dual of [33, 9, 23]-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(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(4110, 124, F4, 67) (dual of [124, 14, 68]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4109, 123, F4, 67) (dual of [123, 14, 68]-code) | [i] | Truncation | |
| 3 | Linear OA(4108, 122, F4, 66) (dual of [122, 14, 67]-code) | [i] | ||
| 4 | Linear OA(4107, 121, F4, 65) (dual of [121, 14, 66]-code) | [i] | ||
| 5 | Linear OOA(4110, 62, F4, 2, 68) (dual of [(62, 2), 14, 69]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4110, 41, F4, 3, 68) (dual of [(41, 3), 13, 69]-NRT-code) | [i] | ||