Information on Result #637314
Linear OA(4189, 234, F4, 99) (dual of [234, 45, 100]-code), using concatenation of two codes based on
- linear OA(6424, 39, F64, 24) (dual of [39, 15, 25]-code or 39-arc in PG(23,64)), using
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- Reed–Solomon code RS(40,64) [i]
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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(4189, 234, F4, 98) (dual of [234, 45, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4189, 234, F4, 97) (dual of [234, 45, 98]-code) | [i] | ||
| 3 | Linear OA(4190, 235, F4, 99) (dual of [235, 45, 100]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4188, 233, F4, 98) (dual of [233, 45, 99]-code) | [i] | Truncation | |
| 5 | Linear OA(4187, 232, F4, 97) (dual of [232, 45, 98]-code) | [i] | ||
| 6 | Linear OA(4186, 231, F4, 96) (dual of [231, 45, 97]-code) | [i] | ||
| 7 | Linear OA(4184, 229, F4, 94) (dual of [229, 45, 95]-code) | [i] | ||
| 8 | Linear OA(4191, 237, F4, 99) (dual of [237, 46, 100]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(4189, 117, F4, 2, 99) (dual of [(117, 2), 45, 100]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4189, 78, F4, 3, 99) (dual of [(78, 3), 45, 100]-NRT-code) | [i] | ||