Information on Result #899399
Linear OOA(2538, 195341, F25, 2, 9) (dual of [(195341, 2), 390644, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(255, 27, F25, 2, 4) (dual of [(27, 2), 49, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- extracting embedded OOA [i] based on digital (1, 5, 27)-net over F25, using
- linear OOA(2533, 195314, F25, 2, 9) (dual of [(195314, 2), 390595, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2533, 390628, F25, 9) (dual of [390628, 390595, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2533, 390629, F25, 9) (dual of [390629, 390596, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(2533, 390625, F25, 9) (dual of [390625, 390592, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2529, 390625, F25, 8) (dual of [390625, 390596, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 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(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(2533, 390629, F25, 9) (dual of [390629, 390596, 10]-code), using
- OOA 2-folding [i] based on linear OA(2533, 390628, F25, 9) (dual of [390628, 390595, 10]-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.