Information on Result #634517
Linear OA(472, 88, F4, 41) (dual of [88, 16, 42]-code), using concatenation of two codes based on
- linear OA(1614, 22, F16, 13) (dual of [22, 8, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using
- extended algebraic-geometric code AGe(F,10P) [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(1614, 24, F16, 13) (dual of [24, 10, 14]-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(472, 88, F4, 40) (dual of [88, 16, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(471, 87, F4, 40) (dual of [87, 16, 41]-code) | [i] | Truncation | |
| 3 | Linear OA(470, 86, F4, 39) (dual of [86, 16, 40]-code) | [i] | ||
| 4 | Linear OA(467, 83, F4, 36) (dual of [83, 16, 37]-code) | [i] | ||
| 5 | Linear OOA(472, 44, F4, 2, 41) (dual of [(44, 2), 16, 42]-NRT-code) | [i] | OOA Folding | |