Information on Result #1197646
Digital (51, 63, 1398112)-net over F27, using net defined by OOA based on linear OOA(2763, 1398112, F27, 14, 12) (dual of [(1398112, 14), 19573505, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2763, 4194337, F27, 2, 12) (dual of [(4194337, 2), 8388611, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2763, 4194339, F27, 2, 12) (dual of [(4194339, 2), 8388615, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(277, 38, F27, 2, 6) (dual of [(38, 2), 69, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,69P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2756, 4194301, F27, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(2756, 8388602, F27, 12) (dual of [8388602, 8388546, 13]-code), using
- linear OOA(277, 38, F27, 2, 6) (dual of [(38, 2), 69, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2763, 4194339, F27, 2, 12) (dual of [(4194339, 2), 8388615, 13]-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.