Information on Result #636674
Linear OA(498, 140, F4, 44) (dual of [140, 42, 45]-code), using concatenation of two codes based on
- linear OA(6414, 28, F64, 14) (dual of [28, 14, 15]-code or 28-arc in PG(13,64)), using
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
- Reed–Solomon code RS(50,64) [i]
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(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(499, 141, F4, 44) (dual of [141, 42, 45]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(497, 139, F4, 43) (dual of [139, 42, 44]-code) | [i] | Truncation | |
| 3 | Linear OA(496, 138, F4, 42) (dual of [138, 42, 43]-code) | [i] | ||
| 4 | Linear OOA(498, 70, F4, 2, 44) (dual of [(70, 2), 42, 45]-NRT-code) | [i] | OOA Folding | |