Information on Result #1190622
Digital (54, 70, 2103)-net over F7, using net defined by OOA based on linear OOA(770, 2103, F7, 16, 16) (dual of [(2103, 16), 33578, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(770, 16824, F7, 16) (dual of [16824, 16754, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(770, 16826, F7, 16) (dual of [16826, 16756, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- 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(751, 16807, F7, 12) (dual of [16807, 16756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(15) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(770, 16826, F7, 16) (dual of [16826, 16756, 17]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (55, 71, 2103)-net over F7 | [i] | Net Duplication | |