Information on Result #637345
Linear OA(4177, 198, F4, 107) (dual of [198, 21, 108]-code), using concatenation of two codes based on
- linear OA(6426, 33, F64, 26) (dual of [33, 7, 27]-code or 33-arc in PG(25,64)), using
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- Reed–Solomon code RS(38,64) [i]
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), 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(4177, 198, F4, 106) (dual of [198, 21, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4177, 198, F4, 105) (dual of [198, 21, 106]-code) | [i] | ||
| 3 | Linear OA(4178, 199, F4, 107) (dual of [199, 21, 108]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4176, 197, F4, 106) (dual of [197, 21, 107]-code) | [i] | Truncation | |
| 5 | Linear OA(4175, 196, F4, 105) (dual of [196, 21, 106]-code) | [i] | ||
| 6 | Linear OA(4174, 195, F4, 104) (dual of [195, 21, 105]-code) | [i] | ||
| 7 | Linear OA(4173, 194, F4, 103) (dual of [194, 21, 104]-code) | [i] | ||
| 8 | Linear OA(4172, 193, F4, 102) (dual of [193, 21, 103]-code) | [i] | ||
| 9 | Linear OA(4170, 191, F4, 100) (dual of [191, 21, 101]-code) | [i] | ||
| 10 | Linear OOA(4177, 99, F4, 2, 107) (dual of [(99, 2), 21, 108]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(4177, 66, F4, 3, 107) (dual of [(66, 3), 21, 108]-NRT-code) | [i] | ||