Information on Result #1017369
Linear OOA(4955, 39320, F49, 3, 15) (dual of [(39320, 3), 117905, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(4911, 101, F49, 3, 7) (dual of [(101, 3), 292, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(493, 50, F49, 3, 3) (dual of [(50, 3), 147, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;147,49) [i]
- linear OOA(498, 51, F49, 3, 7) (dual of [(51, 3), 145, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 8, 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, 8, 51)-net over F49, using
- linear OOA(493, 50, F49, 3, 3) (dual of [(50, 3), 147, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(4944, 39219, F49, 3, 15) (dual of [(39219, 3), 117613, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4944, 117657, F49, 15) (dual of [117657, 117613, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(4943, 117650, F49, 15) (dual of [117650, 117607, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(4937, 117650, F49, 13) (dual of [117650, 117613, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- OOA 3-folding [i] based on linear OA(4944, 117657, F49, 15) (dual of [117657, 117613, 16]-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.