Information on Result #1011918
Linear OOA(488, 5478, F4, 3, 15) (dual of [(5478, 3), 16346, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(410, 15, F4, 3, 7) (dual of [(15, 3), 35, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 10, 15)-net over F4, using
- linear OOA(478, 5463, F4, 3, 15) (dual of [(5463, 3), 16311, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(478, 16389, F4, 15) (dual of [16389, 16311, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(478, 16391, F4, 15) (dual of [16391, 16313, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(478, 16384, F4, 15) (dual of [16384, 16306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(478, 16391, F4, 15) (dual of [16391, 16313, 16]-code), using
- OOA 3-folding [i] based on linear OA(478, 16389, F4, 15) (dual of [16389, 16311, 16]-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.