Information on Result #1184278
Digital (182, 198, 1195743)-net over F3, using net defined by OOA based on linear OOA(3198, 1195743, F3, 18, 16) (dual of [(1195743, 18), 21523176, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3198, 4782973, F3, 2, 16) (dual of [(4782973, 2), 9565748, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3198, 4782976, F3, 2, 16) (dual of [(4782976, 2), 9565754, 17]-NRT-code), using
- trace code [i] based on linear OOA(999, 2391488, F9, 2, 16) (dual of [(2391488, 2), 4782877, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(999, 4782976, F9, 16) (dual of [4782976, 4782877, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [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(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(999, 4782976, F9, 16) (dual of [4782976, 4782877, 17]-code), using
- trace code [i] based on linear OOA(999, 2391488, F9, 2, 16) (dual of [(2391488, 2), 4782877, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3198, 4782976, F3, 2, 16) (dual of [(4782976, 2), 9565754, 17]-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.