Information on Result #684385
Linear OA(538, 70, F5, 18) (dual of [70, 32, 19]-code), using construction X applied to Ce(18) ⊂ Ce(15) based on
- linear OA(537, 63, F5, 19) (dual of [63, 26, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(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
Mode: Constructive and 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.