Information on Result #1718128
Digital (104, 120, 174762)-net over F4, using net defined by OOA based on linear OOA(4120, 174762, F4, 21, 16) (dual of [(174762, 21), 3669882, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4120, 524287, F4, 3, 16) (dual of [(524287, 3), 1572741, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4120, 524288, F4, 3, 16) (dual of [(524288, 3), 1572744, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4120, 524288, F4, 2, 16) (dual of [(524288, 2), 1048456, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4120, 1048576, F4, 16) (dual of [1048576, 1048456, 17]-code), using
- 1 times truncation [i] based on linear OA(4121, 1048577, F4, 17) (dual of [1048577, 1048456, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, 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(4121, 1048577, F4, 17) (dual of [1048577, 1048456, 18]-code), using
- OOA 2-folding [i] based on linear OA(4120, 1048576, F4, 16) (dual of [1048576, 1048456, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4120, 524288, F4, 2, 16) (dual of [(524288, 2), 1048456, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4120, 524288, F4, 3, 16) (dual of [(524288, 3), 1572744, 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.