Information on Result #1731156
Digital (63, 75, 2391496)-net over F9, using net defined by OOA based on linear OOA(975, 2391496, F9, 15, 12) (dual of [(2391496, 15), 35872365, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(975, 4782993, F9, 3, 12) (dual of [(4782993, 3), 14348904, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(975, 4782994, F9, 3, 12) (dual of [(4782994, 3), 14348907, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(975, 4782994, F9, 12) (dual of [4782994, 4782919, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- 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(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,9)), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(975, 4782994, F9, 12) (dual of [4782994, 4782919, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(975, 4782994, F9, 3, 12) (dual of [(4782994, 3), 14348907, 13]-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.