Information on Result #637328
Linear OA(4186, 222, F4, 103) (dual of [222, 36, 104]-code), using concatenation of two codes based on
- linear OA(6425, 37, F64, 25) (dual of [37, 12, 26]-code or 37-arc in PG(24,64)), using
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
- Reed–Solomon code RS(39,64) [i]
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), 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, 222, F4, 102) (dual of [222, 36, 103]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4186, 222, F4, 101) (dual of [222, 36, 102]-code) | [i] | ||
| 3 | Linear OA(4187, 223, F4, 103) (dual of [223, 36, 104]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4185, 221, F4, 102) (dual of [221, 36, 103]-code) | [i] | Truncation | |
| 5 | Linear OA(4184, 220, F4, 101) (dual of [220, 36, 102]-code) | [i] | ||
| 6 | Linear OA(4183, 219, F4, 100) (dual of [219, 36, 101]-code) | [i] | ||
| 7 | Linear OA(4182, 218, F4, 99) (dual of [218, 36, 100]-code) | [i] | ||
| 8 | Linear OA(4181, 217, F4, 98) (dual of [217, 36, 99]-code) | [i] | ||
| 9 | Linear OA(4179, 215, F4, 96) (dual of [215, 36, 97]-code) | [i] | ||
| 10 | Linear OOA(4186, 111, F4, 2, 103) (dual of [(111, 2), 36, 104]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4186, 74, F4, 3, 103) (dual of [(74, 3), 36, 104]-NRT-code) | [i] | ||