Information on Result #637315
Linear OA(4186, 228, F4, 99) (dual of [228, 42, 100]-code), using concatenation of two codes based on
- linear OA(6424, 38, F64, 24) (dual of [38, 14, 25]-code or 38-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(4186, 228, F4, 98) (dual of [228, 42, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4186, 228, F4, 97) (dual of [228, 42, 98]-code) | [i] | ||
| 3 | Linear OA(4187, 229, F4, 99) (dual of [229, 42, 100]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4185, 227, F4, 98) (dual of [227, 42, 99]-code) | [i] | Truncation | |
| 5 | Linear OA(4184, 226, F4, 97) (dual of [226, 42, 98]-code) | [i] | ||
| 6 | Linear OA(4183, 225, F4, 96) (dual of [225, 42, 97]-code) | [i] | ||
| 7 | Linear OA(4182, 224, F4, 95) (dual of [224, 42, 96]-code) | [i] | ||
| 8 | Linear OA(4181, 223, F4, 94) (dual of [223, 42, 95]-code) | [i] | ||
| 9 | Linear OA(4179, 221, F4, 92) (dual of [221, 42, 93]-code) | [i] | ||
| 10 | Linear OOA(4186, 114, F4, 2, 99) (dual of [(114, 2), 42, 100]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4186, 76, F4, 3, 99) (dual of [(76, 3), 42, 100]-NRT-code) | [i] | ||