Information on Result #1186218
Digital (80, 92, 174766)-net over F4, using net defined by OOA based on linear OOA(492, 174766, F4, 12, 12) (dual of [(174766, 12), 2097100, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(492, 1048596, F4, 12) (dual of [1048596, 1048504, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(492, 1048597, F4, 12) (dual of [1048597, 1048505, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(41, 21, F4, 1) (dual of [21, 20, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(492, 1048597, F4, 12) (dual of [1048597, 1048505, 13]-code), using
Mode: Constructive and 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.