Information on Result #1200800
Digital (38, 54, 14718)-net over F49, using net defined by OOA based on linear OOA(4954, 14718, F49, 18, 16) (dual of [(14718, 18), 264870, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4954, 58873, F49, 2, 16) (dual of [(58873, 2), 117692, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4954, 58876, F49, 2, 16) (dual of [(58876, 2), 117698, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(498, 50, F49, 2, 8) (dual of [(50, 2), 92, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;92,49) [i]
- linear OOA(4946, 58826, F49, 2, 16) (dual of [(58826, 2), 117606, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4946, 117652, F49, 16) (dual of [117652, 117606, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(4946, 117649, F49, 16) (dual of [117649, 117603, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4943, 117649, F49, 15) (dual of [117649, 117606, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(4946, 117652, F49, 16) (dual of [117652, 117606, 17]-code), using
- linear OOA(498, 50, F49, 2, 8) (dual of [(50, 2), 92, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4954, 58876, F49, 2, 16) (dual of [(58876, 2), 117698, 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.