Information on Result #1714386
Digital (79, 99, 739)-net over F3, using net defined by OOA based on linear OOA(399, 739, F3, 25, 20) (dual of [(739, 25), 18376, 21]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(399, 1479, F3, 5, 20) (dual of [(1479, 5), 7296, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(399, 1479, F3, 20) (dual of [1479, 1380, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(399, 2215, F3, 20) (dual of [2215, 2116, 21]-code), using
- 1 times code embedding in larger space [i] based on linear OA(398, 2214, F3, 20) (dual of [2214, 2116, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(371, 2187, F3, 16) (dual of [2187, 2116, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(36, 27, F3, 3) (dual of [27, 21, 4]-code or 27-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(398, 2214, F3, 20) (dual of [2214, 2116, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(399, 2215, F3, 20) (dual of [2215, 2116, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(399, 1479, F3, 20) (dual of [1479, 1380, 21]-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.