Information on Result #1182850
Digital (71, 78, 3188655)-net over F3, using net defined by OOA based on linear OOA(378, 3188655, F3, 9, 7) (dual of [(3188655, 9), 28697817, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(378, 3188656, F3, 3, 7) (dual of [(3188656, 3), 9565890, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(320, 3713024, F3, 3, 3) (dual of [(3713024, 3), 11139052, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(320, 3713024, F3, 2, 3) (dual of [(3713024, 2), 7426028, 4]-NRT-code), using
- linear OOA(358, 1594328, F3, 3, 7) (dual of [(1594328, 3), 4782926, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(358, 4782984, F3, 7) (dual of [4782984, 4782926, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(343, 4782969, F3, 5) (dual of [4782969, 4782926, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- OOA 3-folding [i] based on linear OA(358, 4782984, F3, 7) (dual of [4782984, 4782926, 8]-code), using
- linear OOA(320, 3713024, F3, 3, 3) (dual of [(3713024, 3), 11139052, 4]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.