Information on Result #1300173
Linear OA(4131, 162, F4, 69) (dual of [162, 31, 70]-code), using construction X with Varšamov bound based on
- linear OA(4130, 160, F4, 69) (dual of [160, 30, 70]-code), using
- 2 times truncation [i] based on linear OA(4132, 162, F4, 71) (dual of [162, 30, 72]-code), using
- concatenation of two codes [i] based on
- linear OA(6417, 27, F64, 17) (dual of [27, 10, 18]-code or 27-arc in PG(16,64)), using
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), using
- Reed–Solomon code RS(47,64) [i]
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), 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(6417, 27, F64, 17) (dual of [27, 10, 18]-code or 27-arc in PG(16,64)), using
- concatenation of two codes [i] based on
- 2 times truncation [i] based on linear OA(4132, 162, F4, 71) (dual of [162, 30, 72]-code), using
- linear OA(4130, 161, F4, 68) (dual of [161, 31, 69]-code), using Gilbert–Varšamov bound and bm = 4130 > Vbs−1(k−1) = 1 355675 943778 265387 794562 889308 687010 701211 446414 072037 655040 203939 226030 916574 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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
None.