Information on Result #2242936
Linear OA(4226, 280, F4, 117) (dual of [280, 54, 118]-code), using 2 times truncation based on linear OA(4228, 282, F4, 119) (dual of [282, 54, 120]-code), using
- concatenation of two codes [i] based on
- linear OA(6429, 47, F64, 29) (dual of [47, 18, 30]-code or 47-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), 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(6429, 47, F64, 29) (dual of [47, 18, 30]-code or 47-arc in PG(28,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4227, 282, F4, 117) (dual of [282, 55, 118]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4226, 140, F4, 2, 117) (dual of [(140, 2), 54, 118]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4226, 93, F4, 3, 117) (dual of [(93, 3), 53, 118]-NRT-code) | [i] | ||