Information on Result #1193964
Digital (94, 110, 597878)-net over F9, using net defined by OOA based on linear OOA(9110, 597878, F9, 18, 16) (dual of [(597878, 18), 10761694, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9110, 2391513, F9, 2, 16) (dual of [(2391513, 2), 4782916, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9110, 2391516, F9, 2, 16) (dual of [(2391516, 2), 4782922, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(911, 28, F9, 2, 8) (dual of [(28, 2), 45, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,47P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,47P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(999, 2391488, F9, 2, 16) (dual of [(2391488, 2), 4782877, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(999, 4782976, F9, 16) (dual of [4782976, 4782877, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 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(999, 4782976, F9, 16) (dual of [4782976, 4782877, 17]-code), using
- linear OOA(911, 28, F9, 2, 8) (dual of [(28, 2), 45, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(9110, 2391516, F9, 2, 16) (dual of [(2391516, 2), 4782922, 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.