Information on Result #3324798
Digital (106, 119, 1594334)-net over F3, using 31 times duplication based on digital (105, 118, 1594334)-net over F3, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3118, 1594334, F3, 3, 13) (dual of [(1594334, 3), 4782884, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3118, 4783002, F3, 13) (dual of [4783002, 4782884, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3117, 4783001, F3, 13) (dual of [4783001, 4782884, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(3113, 4782969, F3, 13) (dual of [4782969, 4782856, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(385, 4782969, F3, 10) (dual of [4782969, 4782884, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(34, 32, F3, 2) (dual of [32, 28, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3117, 4783001, F3, 13) (dual of [4783001, 4782884, 14]-code), using
- OOA 3-folding [i] based on linear OA(3118, 4783002, F3, 13) (dual of [4783002, 4782884, 14]-code), using
Mode: 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.