Information on Result #1021621
Linear OOA(573, 5611933, F5, 3, 7) (dual of [(5611933, 3), 16835726, 8]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(57, 19531, F5, 3, 2) (dual of [(19531, 3), 58586, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(57, 19531, F5, 2, 2) (dual of [(19531, 2), 39055, 3]-NRT-code), using
- appending kth column [i] based on linear OA(57, 19531, F5, 2) (dual of [19531, 19524, 3]-code), using
- Hamming code H(7,5) [i]
- appending kth column [i] based on linear OA(57, 19531, F5, 2) (dual of [19531, 19524, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(57, 19531, F5, 2, 2) (dual of [(19531, 2), 39055, 3]-NRT-code), using
- linear OOA(515, 2796201, F5, 3, 3) (dual of [(2796201, 3), 8388588, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(515, 3050325, F5, 3, 3) (dual of [(3050325, 3), 9150960, 4]-NRT-code), using
- linear OOA(551, 2796201, F5, 3, 7) (dual of [(2796201, 3), 8388552, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(551, large, F5, 7) (dual of [large, large−51, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(551, large, F5, 7) (dual of [large, large−51, 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(573, 5611932, F5, 9, 7) (dual of [(5611932, 9), 50507315, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |