Information on Result #1204534
Digital (54, 66, 5592401)-net over F256, using net defined by OOA based on linear OOA(25666, 5592401, F256, 18, 12) (dual of [(5592401, 18), 100663152, 13]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(25666, 5592402, F256, 6, 12) (dual of [(5592402, 6), 33554346, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25616, 2796201, F256, 6, 6) (dual of [(2796201, 6), 16777190, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- linear OOA(25650, 2796201, F256, 6, 12) (dual of [(2796201, 6), 16777156, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(25650, 5592402, F256, 3, 12) (dual of [(5592402, 3), 16777156, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25616, 2796201, F256, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code) (see above)
- linear OOA(25634, 2796201, F256, 3, 12) (dual of [(2796201, 3), 8388569, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- linear OOA(25616, 2796201, F256, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA 2-folding [i] based on linear OOA(25650, 5592402, F256, 3, 12) (dual of [(5592402, 3), 16777156, 13]-NRT-code), using
- linear OOA(25616, 2796201, F256, 6, 6) (dual of [(2796201, 6), 16777190, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.