Information on Result #1198032
Digital (57, 74, 66439)-net over F27, using net defined by OOA based on linear OOA(2774, 66439, F27, 18, 17) (dual of [(66439, 18), 1195828, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2774, 265757, F27, 2, 17) (dual of [(265757, 2), 531440, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2774, 265760, F27, 2, 17) (dual of [(265760, 2), 531446, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(279, 38, F27, 2, 8) (dual of [(38, 2), 67, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,67P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2765, 265722, F27, 2, 17) (dual of [(265722, 2), 531379, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2765, 531444, F27, 17) (dual of [531444, 531379, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2765, 531445, F27, 17) (dual of [531445, 531380, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(2765, 531441, F27, 17) (dual of [531441, 531376, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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(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(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(2765, 531445, F27, 17) (dual of [531445, 531380, 18]-code), using
- OOA 2-folding [i] based on linear OA(2765, 531444, F27, 17) (dual of [531444, 531379, 18]-code), using
- linear OOA(279, 38, F27, 2, 8) (dual of [(38, 2), 67, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2774, 265760, F27, 2, 17) (dual of [(265760, 2), 531446, 18]-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.