Information on Result #1017408
Linear OOA(4949, 902, F49, 3, 18) (dual of [(902, 3), 2657, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(4914, 101, F49, 3, 9) (dual of [(101, 3), 289, 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(4910, 51, F49, 3, 9) (dual of [(51, 3), 143, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 10, 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, 10, 51)-net over F49, using
- 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(4935, 801, F49, 3, 18) (dual of [(801, 3), 2368, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4935, 2403, F49, 18) (dual of [2403, 2368, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [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(4933, 2401, F49, 17) (dual of [2401, 2368, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(4935, 2403, F49, 18) (dual of [2403, 2368, 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.