Information on Result #1059781
Linear OOA(3154, 2391504, F3, 4, 12) (dual of [(2391504, 4), 9565862, 13]-NRT-code), using OOA 2-folding based on linear OOA(3154, 4783008, F3, 2, 12) (dual of [(4783008, 2), 9565862, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3154, 4783009, F3, 2, 12) (dual of [(4783009, 2), 9565864, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(312, 33, F3, 2, 6) (dual of [(33, 2), 54, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 33)-net over F3, using
- linear OOA(3142, 4782976, F3, 2, 12) (dual of [(4782976, 2), 9565810, 13]-NRT-code), using
- trace code [i] based on linear OOA(971, 2391488, F9, 2, 12) (dual of [(2391488, 2), 4782905, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(971, 4782976, F9, 12) (dual of [4782976, 4782905, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- OOA 2-folding [i] based on linear OA(971, 4782976, F9, 12) (dual of [4782976, 4782905, 13]-code), using
- trace code [i] based on linear OOA(971, 2391488, F9, 2, 12) (dual of [(2391488, 2), 4782905, 13]-NRT-code), using
- linear OOA(312, 33, F3, 2, 6) (dual of [(33, 2), 54, 7]-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.