Information on Result #1718120
Digital (100, 116, 59248)-net over F4, using net defined by OOA based on linear OOA(4116, 59248, F4, 21, 16) (dual of [(59248, 21), 1244092, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4116, 177745, F4, 3, 16) (dual of [(177745, 3), 533119, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4116, 177747, F4, 3, 16) (dual of [(177747, 3), 533125, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4116, 177747, F4, 16) (dual of [177747, 177631, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4116, 262188, F4, 16) (dual of [262188, 262072, 17]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(4109, 262145, F4, 17) (dual of [262145, 262036, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(473, 262145, F4, 11) (dual of [262145, 262072, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4116, 262188, F4, 16) (dual of [262188, 262072, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4116, 177747, F4, 16) (dual of [177747, 177631, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(4116, 177747, F4, 3, 16) (dual of [(177747, 3), 533125, 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.