Information on Result #637320
Linear OA(4171, 198, F4, 99) (dual of [198, 27, 100]-code), using concatenation of two codes based on
- linear OA(6424, 33, F64, 24) (dual of [33, 9, 25]-code or 33-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(4171, 198, F4, 98) (dual of [198, 27, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4171, 198, F4, 97) (dual of [198, 27, 98]-code) | [i] | ||
| 3 | Linear OA(4172, 199, F4, 99) (dual of [199, 27, 100]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4170, 197, F4, 98) (dual of [197, 27, 99]-code) | [i] | Truncation | |
| 5 | Linear OA(4169, 196, F4, 97) (dual of [196, 27, 98]-code) | [i] | ||
| 6 | Linear OA(4168, 195, F4, 96) (dual of [195, 27, 97]-code) | [i] | ||
| 7 | Linear OA(4167, 194, F4, 95) (dual of [194, 27, 96]-code) | [i] | ||
| 8 | Linear OA(4166, 193, F4, 94) (dual of [193, 27, 95]-code) | [i] | ||
| 9 | Linear OA(4164, 191, F4, 92) (dual of [191, 27, 93]-code) | [i] | ||
| 10 | Linear OOA(4171, 99, F4, 2, 99) (dual of [(99, 2), 27, 100]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4171, 66, F4, 3, 99) (dual of [(66, 3), 27, 100]-NRT-code) | [i] | ||