Information on Result #1301259
Linear OA(533, 66, F5, 16) (dual of [66, 33, 17]-code), using construction X with Varšamov bound based on
- linear OA(531, 63, F5, 16) (dual of [63, 32, 17]-code), using
- an extension Ce(15) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(531, 64, F5, 14) (dual of [64, 33, 15]-code), using Gilbert–Varšamov bound and bm = 531 > Vbs−1(k−1) = 750 016764 325234 712525 [i]
- linear OA(51, 2, F5, 1) (dual of [2, 1, 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
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.