Information on Result #631154
Linear OA(392, 112, F3, 47) (dual of [112, 20, 48]-code), using concatenation of two codes based on
- linear OA(918, 28, F9, 15) (dual of [28, 10, 16]-code), using
- extended algebraic-geometric code AGe(F,12P) [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,12P) [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(392, 112, F3, 46) (dual of [112, 20, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(392, 112, F3, 45) (dual of [112, 20, 46]-code) | [i] | ||
| 3 | Linear OA(396, 117, F3, 47) (dual of [117, 21, 48]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OA(3100, 123, F3, 47) (dual of [123, 23, 48]-code) | [i] | ||
| 5 | Linear OOA(392, 56, F3, 2, 47) (dual of [(56, 2), 20, 48]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(392, 37, F3, 3, 47) (dual of [(37, 3), 19, 48]-NRT-code) | [i] | ||