Information on Result #1197532
Digital (57, 67, 2796200)-net over F27, using net defined by OOA based on linear OOA(2767, 2796200, F27, 14, 10) (dual of [(2796200, 14), 39146733, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2767, 8388601, F27, 2, 10) (dual of [(8388601, 2), 16777135, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2767, 8388602, F27, 2, 10) (dual of [(8388602, 2), 16777137, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2721, 4194301, F27, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2721, 8388602, F27, 5) (dual of [8388602, 8388581, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2721, large, F27, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2721, large, F27, 5) (dual of [large, large−21, 6]-code), using
- OOA 2-folding [i] based on linear OA(2721, 8388602, F27, 5) (dual of [8388602, 8388581, 6]-code), using
- linear OOA(2746, 4194301, F27, 2, 10) (dual of [(4194301, 2), 8388556, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2746, 8388602, F27, 10) (dual of [8388602, 8388556, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2746, large, F27, 10) (dual of [large, large−46, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(2746, large, F27, 10) (dual of [large, large−46, 11]-code), using
- OOA 2-folding [i] based on linear OA(2746, 8388602, F27, 10) (dual of [8388602, 8388556, 11]-code), using
- linear OOA(2721, 4194301, F27, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2767, 8388602, F27, 2, 10) (dual of [(8388602, 2), 16777137, 11]-NRT-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.