Information on Result #1017438
Linear OOA(4955, 902, F49, 3, 20) (dual of [(902, 3), 2651, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(4916, 101, F49, 3, 10) (dual of [(101, 3), 287, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(495, 50, F49, 3, 5) (dual of [(50, 3), 145, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;145,49) [i]
- linear OOA(4911, 51, F49, 3, 10) (dual of [(51, 3), 142, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 11, 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, 11, 51)-net over F49, using
- linear OOA(495, 50, F49, 3, 5) (dual of [(50, 3), 145, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(4939, 801, F49, 3, 20) (dual of [(801, 3), 2364, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4939, 2403, F49, 20) (dual of [2403, 2364, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(4939, 2401, F49, 20) (dual of [2401, 2362, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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(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(19) ⊂ Ce(18) [i] based on
- OOA 3-folding [i] based on linear OA(4939, 2403, F49, 20) (dual of [2403, 2364, 21]-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.