Information on Result #1021592
Linear OOA(5128, 5594117, F5, 3, 10) (dual of [(5594117, 3), 16782223, 11]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(58, 1715, F5, 3, 3) (dual of [(1715, 3), 5137, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(58, 1715, F5, 2, 3) (dual of [(1715, 2), 3422, 4]-NRT-code), using
- linear OOA(540, 2796201, F5, 3, 5) (dual of [(2796201, 3), 8388563, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(540, 4194301, F5, 3, 5) (dual of [(4194301, 3), 12582863, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(540, large, F5, 5) (dual of [large, large−40, 6]-code), using
- the primitive narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(540, large, F5, 5) (dual of [large, large−40, 6]-code), using
- discarding factors / shortening the dual code based on linear OOA(540, 4194301, F5, 3, 5) (dual of [(4194301, 3), 12582863, 6]-NRT-code), using
- linear OOA(580, 2796201, F5, 3, 10) (dual of [(2796201, 3), 8388523, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(580, large, F5, 10) (dual of [large, large−80, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(580, large, F5, 10) (dual of [large, large−80, 11]-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(5128, 2797058, F5, 15, 10) (dual of [(2797058, 15), 41955742, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |