Information on Result #1081353
Linear OOA(3245, 2391511, F3, 4, 19) (dual of [(2391511, 4), 9565799, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(319, 26, F3, 4, 9) (dual of [(26, 4), 85, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(36, 14, F3, 4, 4) (dual of [(14, 4), 50, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(36, 14, F3, 3, 4) (dual of [(14, 3), 36, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 6, 14)-net over F3, using
- appending kth column [i] based on linear OOA(36, 14, F3, 3, 4) (dual of [(14, 3), 36, 5]-NRT-code), using
- linear OOA(313, 13, F3, 4, 9) (dual of [(13, 4), 39, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 13, 13)-net over F3, using
- linear OOA(36, 14, F3, 4, 4) (dual of [(14, 4), 50, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3226, 2391485, F3, 4, 19) (dual of [(2391485, 4), 9565714, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3226, 4782970, F3, 2, 19) (dual of [(4782970, 2), 9565714, 20]-NRT-code), using
- trace code [i] based on linear OOA(9113, 2391485, F9, 2, 19) (dual of [(2391485, 2), 4782857, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using
- trace code [i] based on linear OOA(9113, 2391485, F9, 2, 19) (dual of [(2391485, 2), 4782857, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3226, 4782970, F3, 2, 19) (dual of [(4782970, 2), 9565714, 20]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.