Information on Result #1731356
Digital (75, 89, 1594333)-net over F9, using net defined by OOA based on linear OOA(989, 1594333, F9, 21, 14) (dual of [(1594333, 21), 33480904, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(989, 4783000, F9, 3, 14) (dual of [(4783000, 3), 14348911, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(989, 4783001, F9, 3, 14) (dual of [(4783001, 3), 14348914, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(989, 4783001, F9, 14) (dual of [4783001, 4782912, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,9)), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(989, 4783001, F9, 14) (dual of [4783001, 4782912, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(989, 4783001, F9, 3, 14) (dual of [(4783001, 3), 14348914, 15]-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.