Information on Result #637333
Linear OA(4171, 192, F4, 103) (dual of [192, 21, 104]-code), using concatenation of two codes based on
- linear OA(6425, 32, F64, 25) (dual of [32, 7, 26]-code or 32-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(4171, 192, F4, 102) (dual of [192, 21, 103]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4171, 192, F4, 101) (dual of [192, 21, 102]-code) | [i] | ||
| 3 | Linear OA(4172, 193, F4, 103) (dual of [193, 21, 104]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4170, 191, F4, 102) (dual of [191, 21, 103]-code) | [i] | Truncation | |
| 5 | Linear OA(4169, 190, F4, 101) (dual of [190, 21, 102]-code) | [i] | ||
| 6 | Linear OA(4168, 189, F4, 100) (dual of [189, 21, 101]-code) | [i] | ||
| 7 | Linear OA(4167, 188, F4, 99) (dual of [188, 21, 100]-code) | [i] | ||
| 8 | Linear OA(4166, 187, F4, 98) (dual of [187, 21, 99]-code) | [i] | ||
| 9 | Linear OA(4164, 185, F4, 96) (dual of [185, 21, 97]-code) | [i] | ||
| 10 | Linear OOA(4171, 96, F4, 2, 103) (dual of [(96, 2), 21, 104]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4171, 64, F4, 3, 103) (dual of [(64, 3), 21, 104]-NRT-code) | [i] | ||