Information on Result #1060965
Linear OOA(3232, 2097162, F3, 4, 22) (dual of [(2097162, 4), 8388416, 23]-NRT-code), using OOA 2-folding based on linear OOA(3232, 4194324, F3, 2, 22) (dual of [(4194324, 2), 8388416, 23]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(321, 23, F3, 2, 11) (dual of [(23, 2), 25, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 21, 23)-net over F3, using
- 2 times m-reduction [i] based on digital (10, 23, 23)-net over F3, using
- extracting embedded OOA [i] based on digital (10, 21, 23)-net over F3, using
- linear OOA(3211, 4194301, F3, 2, 22) (dual of [(4194301, 2), 8388391, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- linear OOA(321, 23, F3, 2, 11) (dual of [(23, 2), 25, 12]-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.