Information on Result #1022600
Linear OOA(8159, 5608720, F81, 3, 10) (dual of [(5608720, 3), 16826101, 11]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(815, 16318, F81, 3, 3) (dual of [(16318, 3), 48949, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(815, 16318, F81, 2, 3) (dual of [(16318, 2), 32631, 4]-NRT-code), using
- linear OOA(8117, 2796201, F81, 3, 5) (dual of [(2796201, 3), 8388586, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8117, 4194301, F81, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(8117, large, F81, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(8117, large, F81, 5) (dual of [large, large−17, 6]-code), using
- discarding factors / shortening the dual code based on linear OOA(8117, 4194301, F81, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-code), using
- linear OOA(8137, 2796201, F81, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 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(8159, 2804359, F81, 15, 10) (dual of [(2804359, 15), 42065326, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |