Information on Result #1300429
Linear OA(4169, 209, F4, 88) (dual of [209, 40, 89]-code), using construction X with Varšamov bound based on
- linear OA(4168, 207, F4, 88) (dual of [207, 39, 89]-code), using
- 3 times truncation [i] based on linear OA(4171, 210, F4, 91) (dual of [210, 39, 92]-code), using
- concatenation of two codes [i] based on
- linear OA(6422, 35, F64, 22) (dual of [35, 13, 23]-code or 35-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, 35, F64, 22) (dual of [35, 13, 23]-code or 35-arc in PG(21,64)), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(4171, 210, F4, 91) (dual of [210, 39, 92]-code), using
- linear OA(4168, 208, F4, 87) (dual of [208, 40, 88]-code), using Gilbert–Varšamov bound and bm = 4168 > Vbs−1(k−1) = 83106 543500 519361 606818 187644 269140 644193 388333 190670 628051 950539 226741 516296 002964 409771 001570 555816 [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.