Information on Result #631128
Linear OA(352, 60, F3, 32) (dual of [60, 8, 33]-code), using concatenation of two codes based on
- linear OA(911, 15, F9, 10) (dual of [15, 4, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(911, 16, F9, 10) (dual of [16, 5, 11]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OA(911, 16, F9, 10) (dual of [16, 5, 11]-code), 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(352, 60, F3, 31) (dual of [60, 8, 32]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(351, 59, F3, 31) (dual of [59, 8, 32]-code) | [i] | Truncation | |
| 3 | Linear OA(3133, 140, F3, 83) (dual of [140, 7, 84]-code) | [i] | Juxtaposition | |
| 4 | Linear OOA(352, 30, F3, 2, 32) (dual of [(30, 2), 8, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(352, 20, F3, 3, 32) (dual of [(20, 3), 8, 33]-NRT-code) | [i] | ||