Information on Result #903337
Linear OOA(4941, 1254, F49, 2, 16) (dual of [(1254, 2), 2467, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(499, 51, F49, 2, 8) (dual of [(51, 2), 93, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 9, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
- extracting embedded OOA [i] based on digital (1, 9, 51)-net over F49, using
- linear OOA(4932, 1203, F49, 2, 16) (dual of [(1203, 2), 2374, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4932, 2406, F49, 16) (dual of [2406, 2374, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(4931, 2401, F49, 16) (dual of [2401, 2370, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4927, 2401, F49, 14) (dual of [2401, 2374, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(491, 5, F49, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(4932, 2406, F49, 16) (dual of [2406, 2374, 17]-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.