Information on Result #1021591
Linear OOA(5127, 5593077, F5, 3, 10) (dual of [(5593077, 3), 16779104, 11]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(57, 675, F5, 3, 3) (dual of [(675, 3), 2018, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(57, 675, F5, 2, 3) (dual of [(675, 2), 1343, 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(5127, 2796538, F5, 15, 10) (dual of [(2796538, 15), 41947943, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |