Information on Result #1194608
Digital (111, 138, 4547)-net over F9, using net defined by OOA based on linear OOA(9138, 4547, F9, 27, 27) (dual of [(4547, 27), 122631, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(9138, 59112, F9, 27) (dual of [59112, 58974, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9138, 59116, F9, 27) (dual of [59116, 58978, 28]-code), using
- 1 times truncation [i] based on linear OA(9139, 59117, F9, 28) (dual of [59117, 58978, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(15) [i] based on
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(918, 68, F9, 11) (dual of [68, 50, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(918, 80, F9, 11) (dual of [80, 62, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(918, 80, F9, 11) (dual of [80, 62, 12]-code), using
- construction X applied to Ce(27) ⊂ Ce(15) [i] based on
- 1 times truncation [i] based on linear OA(9139, 59117, F9, 28) (dual of [59117, 58978, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(9138, 59116, F9, 27) (dual of [59116, 58978, 28]-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.