Information on Result #672540
Linear OA(234, 65553, F2, 5) (dual of [65553, 65519, 6]-code), using construction X applied to Ce(4) ⊂ Ce(2) based on
- linear OA(233, 65536, F2, 5) (dual of [65536, 65503, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(217, 65536, F2, 3) (dual of [65536, 65519, 4]-code or 65536-cap in PG(16,2)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(21, 17, F2, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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.
Other Results with Identical Parameters
None.
Depending Results
None.