Information on Result #1011827
Linear OOA(464, 5479, F4, 3, 11) (dual of [(5479, 3), 16373, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(47, 16, F4, 3, 5) (dual of [(16, 3), 41, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 7, 16)-net over F4, using
- linear OOA(457, 5463, F4, 3, 11) (dual of [(5463, 3), 16332, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(457, 16389, F4, 11) (dual of [16389, 16332, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(457, 16391, F4, 11) (dual of [16391, 16334, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(457, 16384, F4, 11) (dual of [16384, 16327, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(450, 16384, F4, 10) (dual of [16384, 16334, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(457, 16391, F4, 11) (dual of [16391, 16334, 12]-code), using
- OOA 3-folding [i] based on linear OA(457, 16389, F4, 11) (dual of [16389, 16332, 12]-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.