Information on Result #1301608
Linear OA(5101, 130, F5, 57) (dual of [130, 29, 58]-code), using construction X with Varšamov bound based on
- linear OA(593, 120, F5, 57) (dual of [120, 27, 58]-code), using
- 6 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,31], and minimum distance d ≥ |{−31,−30,…,31}|+1 = 64 (BCH-bound) [i]
- 6 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- linear OA(593, 122, F5, 51) (dual of [122, 29, 52]-code), using Gilbert–Varšamov bound and bm = 593 > Vbs−1(k−1) = 47932 455102 182480 872929 698512 343605 341723 265347 557459 960171 478181 [i]
- linear OA(56, 8, F5, 5) (dual of [8, 2, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), 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.