Information on Result #1011764
Linear OOA(473, 2830767, F4, 3, 7) (dual of [(2830767, 3), 8492228, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(412, 34566, F4, 3, 3) (dual of [(34566, 3), 103686, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(412, 34566, F4, 2, 3) (dual of [(34566, 2), 69120, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(412, 34566, F4, 3) (dual of [34566, 34554, 4]-code or 34566-cap in PG(11,4)), using
- appending kth column [i] based on linear OOA(412, 34566, F4, 2, 3) (dual of [(34566, 2), 69120, 4]-NRT-code), using
- linear OOA(461, 2796201, F4, 3, 7) (dual of [(2796201, 3), 8388542, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(461, large, F4, 7) (dual of [large, large−61, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(461, large, F4, 7) (dual of [large, large−61, 8]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(473, 2830766, F4, 9, 7) (dual of [(2830766, 9), 25476821, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |