Information on Result #895711
Linear OOA(4213, 4194324, F4, 2, 22) (dual of [(4194324, 2), 8388435, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(420, 23, F4, 2, 11) (dual of [(23, 2), 26, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 20, 23)-net over F4, using
- 3 times m-reduction [i] based on digital (9, 23, 23)-net over F4, using
- extracting embedded OOA [i] based on digital (9, 20, 23)-net over F4, using
- linear OOA(4193, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388409, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4193, 8388602, F4, 22) (dual of [8388602, 8388409, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- OOA 2-folding [i] based on linear OA(4193, 8388602, F4, 22) (dual of [8388602, 8388409, 23]-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.