Information on Result #895684
Linear OOA(4200, 4194324, F4, 2, 21) (dual of [(4194324, 2), 8388448, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(419, 23, F4, 2, 10) (dual of [(23, 2), 27, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 19, 23)-net over F4, using
- 4 times m-reduction [i] based on digital (9, 23, 23)-net over F4, using
- extracting embedded OOA [i] based on digital (9, 19, 23)-net over F4, using
- linear OOA(4181, 4194301, F4, 2, 21) (dual of [(4194301, 2), 8388421, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4181, 8388602, F4, 21) (dual of [8388602, 8388421, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- OOA 2-folding [i] based on linear OA(4181, 8388602, F4, 21) (dual of [8388602, 8388421, 22]-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.