Information on Result #1780547
Digital (183, 208, 1398118)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4208, 1398118, F4, 3, 25) (dual of [(1398118, 3), 4194146, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4208, 4194354, F4, 25) (dual of [4194354, 4194146, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4208, 4194356, F4, 25) (dual of [4194356, 4194148, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(4199, 4194305, F4, 25) (dual of [4194305, 4194106, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(4155, 4194305, F4, 19) (dual of [4194305, 4194150, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4208, 4194356, F4, 25) (dual of [4194356, 4194148, 26]-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.