Information on Result #1017317
Linear OOA(4932, 852, F49, 3, 13) (dual of [(852, 3), 2524, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(497, 51, F49, 3, 6) (dual of [(51, 3), 146, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 7, 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, 7, 51)-net over F49, using
- linear OOA(4925, 801, F49, 3, 13) (dual of [(801, 3), 2378, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4925, 2403, F49, 13) (dual of [2403, 2378, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(4925, 2401, F49, 13) (dual of [2401, 2376, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(4923, 2401, F49, 12) (dual of [2401, 2378, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- OOA 3-folding [i] based on linear OA(4925, 2403, F49, 13) (dual of [2403, 2378, 14]-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.