Information on Result #1190870
Digital (73, 94, 1682)-net over F7, using net defined by OOA based on linear OOA(794, 1682, F7, 21, 21) (dual of [(1682, 21), 35228, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(794, 16821, F7, 21) (dual of [16821, 16727, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(794, 16825, F7, 21) (dual of [16825, 16731, 22]-code), using
- 1 times truncation [i] based on linear OA(795, 16826, F7, 22) (dual of [16826, 16731, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(776, 16807, F7, 18) (dual of [16807, 16731, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(74, 19, F7, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,7)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- 1 times truncation [i] based on linear OA(795, 16826, F7, 22) (dual of [16826, 16731, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(794, 16825, F7, 21) (dual of [16825, 16731, 22]-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.