Information on Result #1300275
Linear OA(4145, 179, F4, 76) (dual of [179, 34, 77]-code), using construction X with Varšamov bound based on
- linear OA(4144, 177, F4, 76) (dual of [177, 33, 77]-code), using
- 3 times truncation [i] based on linear OA(4147, 180, F4, 79) (dual of [180, 33, 80]-code), using
- concatenation of two codes [i] based on
- linear OA(6419, 30, F64, 19) (dual of [30, 11, 20]-code or 30-arc in PG(18,64)), using
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- Reed–Solomon code RS(45,64) [i]
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), 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(6419, 30, F64, 19) (dual of [30, 11, 20]-code or 30-arc in PG(18,64)), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(4147, 180, F4, 79) (dual of [180, 33, 80]-code), using
- linear OA(4144, 178, F4, 75) (dual of [178, 34, 76]-code), using Gilbert–Varšamov bound and bm = 4144 > Vbs−1(k−1) = 283 612356 282038 286812 181048 972543 820530 404609 191805 794777 421097 954726 890655 593239 917736 [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.