Information on Result #635236
Linear OA(4252, 270, F4, 159) (dual of [270, 18, 160]-code), using concatenation of two codes based on
- linear OA(1645, 54, F16, 39) (dual of [54, 9, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(1645, 64, F16, 39) (dual of [64, 19, 40]-code), using
- algebraic-geometric code AG(F,24P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,24P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OA(1645, 64, F16, 39) (dual of [64, 19, 40]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4252, 270, F4, 158) (dual of [270, 18, 159]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4252, 270, F4, 157) (dual of [270, 18, 158]-code) | [i] | ||
| 3 | Linear OA(4251, 269, F4, 158) (dual of [269, 18, 159]-code) | [i] | Truncation | |
| 4 | Linear OA(4250, 268, F4, 157) (dual of [268, 18, 158]-code) | [i] | ||
| 5 | Linear OA(4249, 267, F4, 156) (dual of [267, 18, 157]-code) | [i] | ||
| 6 | Linear OA(4248, 266, F4, 155) (dual of [266, 18, 156]-code) | [i] | ||
| 7 | Linear OA(4245, 263, F4, 152) (dual of [263, 18, 153]-code) | [i] | ||
| 8 | Linear OOA(4252, 135, F4, 2, 159) (dual of [(135, 2), 18, 160]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(4252, 90, F4, 3, 159) (dual of [(90, 3), 18, 160]-NRT-code) | [i] | ||