Information on Result #3260917
Digital (72, 92, 1683)-net over F7, using 72 times duplication based on digital (70, 90, 1683)-net over F7, using
- net defined by OOA [i] based on linear OOA(790, 1683, F7, 20, 20) (dual of [(1683, 20), 33570, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(790, 16830, F7, 20) (dual of [16830, 16740, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(790, 16831, F7, 20) (dual of [16831, 16741, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(786, 16807, F7, 20) (dual of [16807, 16721, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(766, 16807, F7, 16) (dual of [16807, 16741, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(74, 24, F7, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,7)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(790, 16831, F7, 20) (dual of [16831, 16741, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(790, 16830, F7, 20) (dual of [16830, 16740, 21]-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.