Information on Result #1194046
Digital (101, 118, 597879)-net over F9, using net defined by OOA based on linear OOA(9118, 597879, F9, 18, 17) (dual of [(597879, 18), 10761704, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9118, 2391517, F9, 2, 17) (dual of [(2391517, 2), 4782916, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9118, 2391518, F9, 2, 17) (dual of [(2391518, 2), 4782918, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(912, 30, F9, 2, 8) (dual of [(30, 2), 48, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,51P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OOA(9106, 2391488, F9, 2, 17) (dual of [(2391488, 2), 4782870, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9106, 4782976, F9, 17) (dual of [4782976, 4782870, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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(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(16) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(9106, 4782976, F9, 17) (dual of [4782976, 4782870, 18]-code), using
- linear OOA(912, 30, F9, 2, 8) (dual of [(30, 2), 48, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(9118, 2391518, F9, 2, 17) (dual of [(2391518, 2), 4782918, 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.