Information on Result #3260478
Digital (107, 135, 1117)-net over F5, using 51 times duplication based on digital (106, 134, 1117)-net over F5, using
- net defined by OOA [i] based on linear OOA(5134, 1117, F5, 28, 28) (dual of [(1117, 28), 31142, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(5134, 15638, F5, 28) (dual of [15638, 15504, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(5133, 15625, F5, 28) (dual of [15625, 15492, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(51, 13, F5, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- OA 14-folding and stacking [i] based on linear OA(5134, 15638, F5, 28) (dual of [15638, 15504, 29]-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.