Information on Result #1186010
Digital (53, 62, 262146)-net over F4, using net defined by OOA based on linear OOA(462, 262146, F4, 9, 9) (dual of [(262146, 9), 2359252, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(462, 1048585, F4, 9) (dual of [1048585, 1048523, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(462, 1048587, F4, 9) (dual of [1048587, 1048525, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(461, 1048576, F4, 9) (dual of [1048576, 1048515, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(451, 1048576, F4, 7) (dual of [1048576, 1048525, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 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(8) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(462, 1048587, F4, 9) (dual of [1048587, 1048525, 10]-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.