Information on Result #1300493
Linear OA(4174, 217, F4, 90) (dual of [217, 43, 91]-code), using construction X with Varšamov bound based on
- linear OA(4173, 215, F4, 90) (dual of [215, 42, 91]-code), using
- 1 times truncation [i] based on linear OA(4174, 216, F4, 91) (dual of [216, 42, 92]-code), using
- concatenation of two codes [i] based on
- linear OA(6422, 36, F64, 22) (dual of [36, 14, 23]-code or 36-arc in PG(21,64)), using
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
- Reed–Solomon code RS(42,64) [i]
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), 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(6422, 36, F64, 22) (dual of [36, 14, 23]-code or 36-arc in PG(21,64)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(4174, 216, F4, 91) (dual of [216, 42, 92]-code), using
- linear OA(4173, 216, F4, 89) (dual of [216, 43, 90]-code), using Gilbert–Varšamov bound and bm = 4173 > Vbs−1(k−1) = 104 273278 838248 086890 791642 530728 054816 445065 598529 782937 784247 833949 341683 095131 267416 612390 286895 957712 [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.