Information on Result #637316
Linear OA(4183, 222, F4, 99) (dual of [222, 39, 100]-code), using concatenation of two codes based on
- linear OA(6424, 37, F64, 24) (dual of [37, 13, 25]-code or 37-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(4183, 222, F4, 98) (dual of [222, 39, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4183, 222, F4, 97) (dual of [222, 39, 98]-code) | [i] | ||
| 3 | Linear OA(4184, 223, F4, 99) (dual of [223, 39, 100]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4182, 221, F4, 98) (dual of [221, 39, 99]-code) | [i] | Truncation | |
| 5 | Linear OA(4181, 220, F4, 97) (dual of [220, 39, 98]-code) | [i] | ||
| 6 | Linear OA(4180, 219, F4, 96) (dual of [219, 39, 97]-code) | [i] | ||
| 7 | Linear OA(4179, 218, F4, 95) (dual of [218, 39, 96]-code) | [i] | ||
| 8 | Linear OA(4178, 217, F4, 94) (dual of [217, 39, 95]-code) | [i] | ||
| 9 | Linear OOA(4183, 111, F4, 2, 99) (dual of [(111, 2), 39, 100]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4183, 74, F4, 3, 99) (dual of [(74, 3), 39, 100]-NRT-code) | [i] | ||