Information on Result #3261460
Digital (29, 40, 821)-net over F8, using 81 times duplication based on digital (28, 39, 821)-net over F8, using
- net defined by OOA [i] based on linear OOA(839, 821, F8, 11, 11) (dual of [(821, 11), 8992, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(839, 4106, F8, 11) (dual of [4106, 4067, 12]-code), using
- 1 times code embedding in larger space [i] based on linear OA(838, 4105, F8, 11) (dual of [4105, 4067, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(837, 4096, F8, 11) (dual of [4096, 4059, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(838, 4105, F8, 11) (dual of [4105, 4067, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(839, 4106, F8, 11) (dual of [4106, 4067, 12]-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.