Information on Result #1301706
Linear OA(5114, 143, F5, 65) (dual of [143, 29, 66]-code), using construction X with Varšamov bound based on
- linear OA(5106, 133, F5, 65) (dual of [133, 27, 66]-code), using
- construction X applied to C([0,32]) ⊂ C([0,31]) [i] based on
- linear OA(5105, 126, F5, 65) (dual of [126, 21, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (BCH-bound) [i]
- 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]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,32]) ⊂ C([0,31]) [i] based on
- linear OA(5106, 135, F5, 59) (dual of [135, 29, 60]-code), using Gilbert–Varšamov bound and bm = 5106 > Vbs−1(k−1) = 45 952204 989396 030472 247190 510912 727645 590454 522916 473464 914357 674263 800585 [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.
Other Results with Identical Parameters
None.
Depending Results
None.