Information on Result #903372
Linear OOA(4945, 1253, F49, 2, 18) (dual of [(1253, 2), 2461, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(499, 50, F49, 2, 9) (dual of [(50, 2), 91, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;91,49) [i]
- linear OOA(4936, 1203, F49, 2, 18) (dual of [(1203, 2), 2370, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4936, 2406, F49, 18) (dual of [2406, 2370, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(4935, 2401, F49, 18) (dual of [2401, 2366, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(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(17) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(4936, 2406, F49, 18) (dual of [2406, 2370, 19]-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.