Information on Result #895401
Linear OOA(461, 4228867, F4, 2, 6) (dual of [(4228867, 2), 8457673, 7]-NRT-code), using (u, u+v)-construction 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
- linear OOA(449, 4194301, F4, 2, 6) (dual of [(4194301, 2), 8388553, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(449, 8388602, F4, 6) (dual of [8388602, 8388553, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(449, large, F4, 6) (dual of [large, large−49, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(449, large, F4, 6) (dual of [large, large−49, 7]-code), using
- OOA 2-folding [i] based on linear OA(449, 8388602, F4, 6) (dual of [8388602, 8388553, 7]-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.