Information on Result #1731582
Digital (90, 106, 1594339)-net over F9, using net defined by OOA based on linear OOA(9106, 1594339, F9, 21, 16) (dual of [(1594339, 21), 33481013, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9106, 4783018, F9, 3, 16) (dual of [(4783018, 3), 14348948, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9106, 4783018, F9, 16) (dual of [4783018, 4782912, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(9) [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(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(97, 49, F9, 5) (dual of [49, 42, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(15) ⊂ Ce(9) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9106, 4783018, F9, 16) (dual of [4783018, 4782912, 17]-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.