Information on Result #903330
Linear OOA(4939, 1251, F49, 2, 16) (dual of [(1251, 2), 2463, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(498, 50, F49, 2, 8) (dual of [(50, 2), 92, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;92,49) [i]
- linear OOA(4931, 1201, F49, 2, 16) (dual of [(1201, 2), 2371, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4931, 2402, F49, 16) (dual of [2402, 2371, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4931, 2403, F49, 16) (dual of [2403, 2372, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [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(4929, 2401, F49, 15) (dual of [2401, 2372, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(4931, 2403, F49, 16) (dual of [2403, 2372, 17]-code), using
- OOA 2-folding [i] based on linear OA(4931, 2402, F49, 16) (dual of [2402, 2371, 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.