Information on Result #3254186
Digital (210, 229, 1062883)-net over F3, using 31 times duplication based on digital (209, 228, 1062883)-net over F3, using
- net defined by OOA [i] based on linear OOA(3228, 1062883, F3, 21, 19) (dual of [(1062883, 21), 22320315, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3228, 3188650, F3, 3, 19) (dual of [(3188650, 3), 9565722, 20]-NRT-code), using
- trace code [i] based on linear OOA(9114, 1594325, F9, 3, 19) (dual of [(1594325, 3), 4782861, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9114, 4782975, F9, 19) (dual of [4782975, 4782861, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9114, 4782977, F9, 19) (dual of [4782977, 4782863, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(91, 8, F9, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(9114, 4782977, F9, 19) (dual of [4782977, 4782863, 20]-code), using
- OOA 3-folding [i] based on linear OA(9114, 4782975, F9, 19) (dual of [4782975, 4782861, 20]-code), using
- trace code [i] based on linear OOA(9114, 1594325, F9, 3, 19) (dual of [(1594325, 3), 4782861, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3228, 3188650, F3, 3, 19) (dual of [(3188650, 3), 9565722, 20]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.