Information on Result #1017421
Linear OOA(4950, 901, F49, 3, 19) (dual of [(901, 3), 2653, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(4913, 100, F49, 3, 9) (dual of [(100, 3), 287, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(494, 50, F49, 3, 4) (dual of [(50, 3), 146, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;146,49) [i]
- linear OOA(499, 50, F49, 3, 9) (dual of [(50, 3), 141, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;141,49) [i]
- linear OOA(494, 50, F49, 3, 4) (dual of [(50, 3), 146, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(4937, 801, F49, 3, 19) (dual of [(801, 3), 2366, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4937, 2403, F49, 19) (dual of [2403, 2366, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(4937, 2401, F49, 19) (dual of [2401, 2364, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(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(18) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(4937, 2403, F49, 19) (dual of [2403, 2366, 20]-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.