Information on Result #1731574
Digital (86, 102, 1594330)-net over F9, using net defined by OOA based on linear OOA(9102, 1594330, F9, 21, 16) (dual of [(1594330, 21), 33480828, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9102, 4782991, F9, 3, 16) (dual of [(4782991, 3), 14348871, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9102, 4782993, F9, 3, 16) (dual of [(4782993, 3), 14348877, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9102, 4782993, F9, 16) (dual of [4782993, 4782891, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(93, 24, F9, 2) (dual of [24, 21, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9102, 4782993, F9, 16) (dual of [4782993, 4782891, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(9102, 4782993, F9, 3, 16) (dual of [(4782993, 3), 14348877, 17]-NRT-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.