Information on Result #631143
Linear OA(388, 112, F3, 41) (dual of [112, 24, 42]-code), using concatenation of two codes based on
- linear OA(916, 28, F9, 13) (dual of [28, 12, 14]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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(388, 112, F3, 40) (dual of [112, 24, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(389, 113, F3, 41) (dual of [113, 24, 42]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(390, 114, F3, 41) (dual of [114, 24, 42]-code) | [i] | ||
| 4 | Linear OA(391, 115, F3, 41) (dual of [115, 24, 42]-code) | [i] | ||
| 5 | Linear OA(387, 111, F3, 40) (dual of [111, 24, 41]-code) | [i] | Truncation | |
| 6 | Linear OA(390, 115, F3, 41) (dual of [115, 25, 42]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(391, 117, F3, 41) (dual of [117, 26, 42]-code) | [i] | ||
| 8 | Linear OOA(388, 56, F3, 2, 41) (dual of [(56, 2), 24, 42]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(388, 37, F3, 3, 41) (dual of [(37, 3), 23, 42]-NRT-code) | [i] | ||