Information on Result #1718146
Digital (116, 132, 660330)-net over F4, using net defined by OOA based on linear OOA(4132, 660330, F4, 21, 16) (dual of [(660330, 21), 13866798, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4132, 1980991, F4, 3, 16) (dual of [(1980991, 3), 5942841, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4132, 1980992, F4, 3, 16) (dual of [(1980992, 3), 5942844, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4132, 1980992, F4, 2, 16) (dual of [(1980992, 2), 3961852, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4132, 2097152, F4, 2, 16) (dual of [(2097152, 2), 4194172, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4132, 4194304, F4, 16) (dual of [4194304, 4194172, 17]-code), using
- 1 times truncation [i] based on linear OA(4133, 4194305, F4, 17) (dual of [4194305, 4194172, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(4133, 4194305, F4, 17) (dual of [4194305, 4194172, 18]-code), using
- OOA 2-folding [i] based on linear OA(4132, 4194304, F4, 16) (dual of [4194304, 4194172, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(4132, 2097152, F4, 2, 16) (dual of [(2097152, 2), 4194172, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4132, 1980992, F4, 2, 16) (dual of [(1980992, 2), 3961852, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4132, 1980992, F4, 3, 16) (dual of [(1980992, 3), 5942844, 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.