Information on Result #1301745
Linear OA(5113, 145, F5, 63) (dual of [145, 32, 64]-code), using construction X with Varšamov bound based on
- linear OA(5112, 143, F5, 63) (dual of [143, 31, 64]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(5100, 127, F5, 63) (dual of [127, 27, 64]-code), using
- 1 times code embedding in larger space [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]
- 1 times code embedding in larger space [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- linear OA(5100, 131, F5, 55) (dual of [131, 31, 56]-code), using Gilbert–Varšamov bound and bm = 5100 > Vbs−1(k−1) = 5838 600353 273863 535834 921008 850597 333567 865122 464486 330143 767467 855385 [i]
- linear OA(58, 12, F5, 7) (dual of [12, 4, 8]-code), using
- linear OA(5100, 127, F5, 63) (dual of [127, 27, 64]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(5112, 144, F5, 62) (dual of [144, 32, 63]-code), using Gilbert–Varšamov bound and bm = 5112 > Vbs−1(k−1) = 1 039070 009841 687711 291101 343840 765861 812046 354425 363232 973734 763687 449334 804365 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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.
Other Results with Identical Parameters
None.
Depending Results
None.