Information on Result #1082392
Linear OOA(8159, 4194464, F81, 4, 10) (dual of [(4194464, 4), 16777797, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8117, 4194301, F81, 4, 5) (dual of [(4194301, 4), 16777187, 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
- linear OOA(8142, 2097232, F81, 4, 10) (dual of [(2097232, 4), 8388886, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 82, F81, 4, 5) (dual of [(82, 4), 323, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;323,81) [i]
- linear OOA(8137, 2097150, F81, 4, 10) (dual of [(2097150, 4), 8388563, 11]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8137, 8388600, F81, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- OOA 4-folding [i] based on linear OA(8137, 8388600, F81, 10) (dual of [8388600, 8388563, 11]-code), using
- linear OOA(815, 82, F81, 4, 5) (dual of [(82, 4), 323, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
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.