Information on Result #1012971
Linear OOA(560, 651056, F5, 3, 8) (dual of [(651056, 3), 1953108, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(55, 12, F5, 3, 4) (dual of [(12, 3), 31, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 12)-net over F5, using
- linear OOA(555, 651044, F5, 3, 8) (dual of [(651044, 3), 1953077, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(555, 1953132, F5, 8) (dual of [1953132, 1953077, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(555, 1953134, F5, 8) (dual of [1953134, 1953079, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(555, 1953125, F5, 8) (dual of [1953125, 1953070, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(546, 1953125, F5, 7) (dual of [1953125, 1953079, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(555, 1953134, F5, 8) (dual of [1953134, 1953079, 9]-code), using
- OOA 3-folding [i] based on linear OA(555, 1953132, F5, 8) (dual of [1953132, 1953077, 9]-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.