Information on Result #634936
Linear OA(451, 55, F4, 39) (dual of [55, 4, 40]-code), using concatenation of two codes based on
- linear OA(169, 11, F16, 9) (dual of [11, 2, 10]-code or 11-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), 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.
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(450, 54, F4, 38) (dual of [54, 4, 39]-code) | [i] | Truncation | |
| 2 | Linear OA(449, 53, F4, 37) (dual of [53, 4, 38]-code) | [i] | ||
| 3 | Linear OA(448, 52, F4, 36) (dual of [52, 4, 37]-code) | [i] | ||
| 4 | Linear OOA(2212, 110, F2, 2, 119) (dual of [(110, 2), 8, 120]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 5 | Linear OOA(451, 27, F4, 2, 39) (dual of [(27, 2), 3, 40]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(451, 18, F4, 3, 39) (dual of [(18, 3), 3, 40]-NRT-code) | [i] | ||