Information on Result #1715164
Digital (224, 247, 968026)-net over F3, using net defined by OOA based on linear OOA(3247, 968026, F3, 28, 23) (dual of [(968026, 28), 27104481, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3247, 2904079, F3, 4, 23) (dual of [(2904079, 4), 11616069, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3247, 2904081, F3, 4, 23) (dual of [(2904081, 4), 11616077, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3247, 2904081, F3, 2, 23) (dual of [(2904081, 2), 5807915, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3247, 4194324, F3, 2, 23) (dual of [(4194324, 2), 8388401, 24]-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(3226, 4194301, F3, 2, 23) (dual of [(4194301, 2), 8388376, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3226, 8388602, F3, 23) (dual of [8388602, 8388376, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- OOA 2-folding [i] based on linear OA(3226, 8388602, F3, 23) (dual of [8388602, 8388376, 24]-code), using
- linear OOA(321, 23, F3, 2, 11) (dual of [(23, 2), 25, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3247, 4194324, F3, 2, 23) (dual of [(4194324, 2), 8388401, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3247, 2904081, F3, 2, 23) (dual of [(2904081, 2), 5807915, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3247, 2904081, F3, 4, 23) (dual of [(2904081, 4), 11616077, 24]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.