Information on Result #1300277
Linear OA(4145, 182, F4, 75) (dual of [182, 37, 76]-code), using construction X with Varšamov bound based on
- linear OA(4144, 180, F4, 75) (dual of [180, 36, 76]-code), using
- concatenation of two codes [i] based on
- linear OA(6418, 30, F64, 18) (dual of [30, 12, 19]-code or 30-arc in PG(17,64)), using
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
- Reed–Solomon code RS(46,64) [i]
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), 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(6418, 30, F64, 18) (dual of [30, 12, 19]-code or 30-arc in PG(17,64)), using
- concatenation of two codes [i] based on
- linear OA(4144, 181, F4, 74) (dual of [181, 37, 75]-code), using Gilbert–Varšamov bound and bm = 4144 > Vbs−1(k−1) = 319 068450 593471 218217 862138 437629 256632 469867 415758 481141 279333 595120 925448 994153 996804 [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.