Information on Result #2243336
Linear OA(4247, 304, F4, 129) (dual of [304, 57, 130]-code), using 2 times truncation based on linear OA(4249, 306, F4, 131) (dual of [306, 57, 132]-code), using
- concatenation of two codes [i] based on
- linear OA(6432, 51, F64, 32) (dual of [51, 19, 33]-code or 51-arc in PG(31,64)), using
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
- Reed–Solomon code RS(32,64) [i]
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), 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(6432, 51, F64, 32) (dual of [51, 19, 33]-code or 51-arc in PG(31,64)), 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(4249, 307, F4, 129) (dual of [307, 58, 130]-code) | [i] | Construction X with Varšamov Bound | |
2 | Linear OOA(4247, 152, F4, 2, 129) (dual of [(152, 2), 57, 130]-NRT-code) | [i] | OOA Folding | |
3 | Linear OOA(4247, 101, F4, 3, 129) (dual of [(101, 3), 56, 130]-NRT-code) | [i] |