Information on Result #1202570
Digital (40, 56, 66488)-net over F81, using net defined by OOA based on linear OOA(8156, 66488, F81, 20, 16) (dual of [(66488, 20), 1329704, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8156, 132977, F81, 4, 16) (dual of [(132977, 4), 531852, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8110, 116, F81, 4, 8) (dual of [(116, 4), 454, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,455P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8146, 132861, F81, 4, 16) (dual of [(132861, 4), 531398, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8146, 531444, F81, 16) (dual of [531444, 531398, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8143, 531441, F81, 15) (dual of [531441, 531398, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- OOA 4-folding [i] based on linear OA(8146, 531444, F81, 16) (dual of [531444, 531398, 17]-code), using
- linear OOA(8110, 116, F81, 4, 8) (dual of [(116, 4), 454, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
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.