Information on Result #1197932
Digital (53, 69, 66437)-net over F27, using net defined by OOA based on linear OOA(2769, 66437, F27, 18, 16) (dual of [(66437, 18), 1195797, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2769, 265749, F27, 2, 16) (dual of [(265749, 2), 531429, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2769, 265750, F27, 2, 16) (dual of [(265750, 2), 531431, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(278, 28, F27, 2, 8) (dual of [(28, 2), 48, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;48,27) [i]
- linear OOA(2761, 265722, F27, 2, 16) (dual of [(265722, 2), 531383, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2761, 531444, F27, 16) (dual of [531444, 531383, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2761, 531445, F27, 16) (dual of [531445, 531384, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(2761, 531441, F27, 16) (dual of [531441, 531380, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(2761, 531445, F27, 16) (dual of [531445, 531384, 17]-code), using
- OOA 2-folding [i] based on linear OA(2761, 531444, F27, 16) (dual of [531444, 531383, 17]-code), using
- linear OOA(278, 28, F27, 2, 8) (dual of [(28, 2), 48, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2769, 265750, F27, 2, 16) (dual of [(265750, 2), 531431, 17]-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.