Information on Result #1713544
Digital (59, 75, 550)-net over F3, using net defined by OOA based on linear OOA(375, 550, F3, 20, 16) (dual of [(550, 20), 10925, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(375, 1101, F3, 4, 16) (dual of [(1101, 4), 4329, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(375, 1102, F3, 4, 16) (dual of [(1102, 4), 4333, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(375, 1102, F3, 2, 16) (dual of [(1102, 2), 2129, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(375, 2204, F3, 16) (dual of [2204, 2129, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(375, 2205, F3, 16) (dual of [2205, 2130, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- 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(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(34, 18, F3, 2) (dual of [18, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(375, 2205, F3, 16) (dual of [2205, 2130, 17]-code), using
- OOA 2-folding [i] based on linear OA(375, 2204, F3, 16) (dual of [2204, 2129, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(375, 1102, F3, 2, 16) (dual of [(1102, 2), 2129, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(375, 1102, F3, 4, 16) (dual of [(1102, 4), 4333, 17]-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.