Information on Result #1731576
Digital (87, 103, 1594333)-net over F9, using net defined by OOA based on linear OOA(9103, 1594333, F9, 21, 16) (dual of [(1594333, 21), 33480890, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9103, 4783000, F9, 3, 16) (dual of [(4783000, 3), 14348897, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9103, 4783001, F9, 3, 16) (dual of [(4783001, 3), 14348900, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9103, 4783001, F9, 16) (dual of [4783001, 4782898, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [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(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,9)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9103, 4783001, F9, 16) (dual of [4783001, 4782898, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(9103, 4783001, F9, 3, 16) (dual of [(4783001, 3), 14348900, 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.