Information on Result #688971
Linear OA(9140, 4783025, F9, 21) (dual of [4783025, 4782885, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,6]) based on
- linear OA(9127, 4782970, F9, 21) (dual of [4782970, 4782843, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(985, 4782970, F9, 13) (dual of [4782970, 4782885, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(913, 55, F9, 7) (dual of [55, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(913, 80, F9, 7) (dual of [80, 67, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(913, 80, F9, 7) (dual of [80, 67, 8]-code), 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.