Information on Result #1012926
Linear OOA(568, 8388602, F5, 3, 6) (dual of [(8388602, 3), 25165738, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(516, large, F5, 3, 3), using
- appending kth column [i] based on linear OOA(516, large, F5, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(516, large, F5, 3) (dual of [large, large−16, 4]-code), using
- product of projective cap with 52-ovoid cap in AG(3, 5) [i] based on linear OA(513, 438101, F5, 3) (dual of [438101, 438088, 4]-code or 438101-cap in PG(12,5)), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(516, large, F5, 3) (dual of [large, large−16, 4]-code), using
- appending kth column [i] based on linear OOA(516, large, F5, 2, 3), using
- linear OOA(552, 4194301, F5, 3, 6) (dual of [(4194301, 3), 12582851, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(552, 8388602, F5, 2, 6) (dual of [(8388602, 2), 16777152, 7]-NRT-code), using
- trace code [i] based on linear OOA(2526, 4194301, F25, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- trace code [i] based on linear OOA(2526, 4194301, F25, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(552, 8388602, F5, 2, 6) (dual of [(8388602, 2), 16777152, 7]-NRT-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.