Information on Result #2235835
Linear OA(460, 72, F4, 36) (dual of [72, 12, 37]-code), using 3 times truncation based on linear OA(463, 75, F4, 39) (dual of [75, 12, 40]-code), using
- concatenation of two codes [i] based on
- linear OA(169, 15, F16, 9) (dual of [15, 6, 10]-code or 15-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]
- linear OA(169, 15, F16, 9) (dual of [15, 6, 10]-code or 15-arc in PG(8,16)), using
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(2189, 207, F2, 73) (dual of [207, 18, 74]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OOA(460, 36, F4, 2, 36) (dual of [(36, 2), 12, 37]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(460, 24, F4, 3, 36) (dual of [(24, 3), 12, 37]-NRT-code) | [i] | ||