Information on Result #2241138
Linear OA(4175, 214, F4, 93) (dual of [214, 39, 94]-code), using 2 times truncation based on linear OA(4177, 216, F4, 95) (dual of [216, 39, 96]-code), using
- concatenation of two codes [i] based on
- linear OA(6423, 36, F64, 23) (dual of [36, 13, 24]-code or 36-arc in PG(22,64)), using
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- Reed–Solomon code RS(41,64) [i]
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), 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
- linear OA(6423, 36, F64, 23) (dual of [36, 13, 24]-code or 36-arc in PG(22,64)), 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, 217, F4, 93) (dual of [217, 40, 94]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4175, 107, F4, 2, 93) (dual of [(107, 2), 39, 94]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4175, 71, F4, 3, 93) (dual of [(71, 3), 38, 94]-NRT-code) | [i] | ||