Information on Result #1018811
Linear OOA(8180, 2798388, F81, 3, 17) (dual of [(2798388, 3), 8395084, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8115, 2187, F81, 3, 8) (dual of [(2187, 3), 6546, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using
- linear OOA(8165, 2796201, F81, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-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
None.