Information on Result #1022617
Linear OOA(8153, 2433, F81, 3, 19) (dual of [(2433, 3), 7246, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8116, 246, F81, 3, 9) (dual of [(246, 3), 722, 10]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(813, 82, F81, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;243,81) [i]
- linear OOA(814, 82, F81, 3, 4) (dual of [(82, 3), 242, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;242,81) [i]
- linear OOA(819, 82, F81, 3, 9) (dual of [(82, 3), 237, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;237,81) [i]
- linear OOA(813, 82, F81, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(8137, 2187, F81, 3, 19) (dual of [(2187, 3), 6524, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8137, 6561, F81, 19) (dual of [6561, 6524, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(8137, 6561, F81, 19) (dual of [6561, 6524, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(8153, 810, F81, 21, 19) (dual of [(810, 21), 16957, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |