Information on Result #688974
Linear OA(9123, 4783011, F9, 18) (dual of [4783011, 4782888, 19]-code), using construction X applied to C([0,9]) ⊂ C([0,5]) based on
- linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(971, 4782970, F9, 11) (dual of [4782970, 4782899, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(910, 41, F9, 6) (dual of [41, 31, 7]-code), using
- an extension Ce(5) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
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.