Information on Result #899609
Linear OOA(2552, 7842, F25, 2, 15) (dual of [(7842, 2), 15632, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(259, 28, F25, 2, 7) (dual of [(28, 2), 47, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 9, 28)-net over F25, using
- net from sequence [i] based on digital (2, 27)-sequence over F25, using
- extracting embedded OOA [i] based on digital (2, 9, 28)-net over F25, using
- linear OOA(2543, 7814, F25, 2, 15) (dual of [(7814, 2), 15585, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2543, 15628, F25, 15) (dual of [15628, 15585, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(2543, 15625, F25, 15) (dual of [15625, 15582, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(2543, 15628, F25, 15) (dual of [15628, 15585, 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.