Information on Result #1192212
Digital (88, 107, 29132)-net over F8, using net defined by OOA based on linear OOA(8107, 29132, F8, 21, 19) (dual of [(29132, 21), 611665, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8107, 87397, F8, 3, 19) (dual of [(87397, 3), 262084, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(897, 87383, F8, 3, 19) (dual of [(87383, 3), 262052, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(897, 262149, F8, 19) (dual of [262149, 262052, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(897, 262150, F8, 19) (dual of [262150, 262053, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(897, 262150, F8, 19) (dual of [262150, 262053, 20]-code), using
- OOA 3-folding [i] based on linear OA(897, 262149, F8, 19) (dual of [262149, 262052, 20]-code), using
- linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-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.