Information on Result #1193666
Digital (52, 65, 9855)-net over F9, using net defined by OOA based on linear OOA(965, 9855, F9, 15, 13) (dual of [(9855, 15), 147760, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(965, 19711, F9, 3, 13) (dual of [(19711, 3), 59068, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(965, 19712, F9, 3, 13) (dual of [(19712, 3), 59071, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(99, 28, F9, 3, 6) (dual of [(28, 3), 75, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,77P) [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(3;F,77P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(956, 19684, F9, 3, 13) (dual of [(19684, 3), 58996, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(956, 59052, F9, 13) (dual of [59052, 58996, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(956, 59054, F9, 13) (dual of [59054, 58998, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(956, 59049, F9, 13) (dual of [59049, 58993, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 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(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(956, 59054, F9, 13) (dual of [59054, 58998, 14]-code), using
- OOA 3-folding [i] based on linear OA(956, 59052, F9, 13) (dual of [59052, 58996, 14]-code), using
- linear OOA(99, 28, F9, 3, 6) (dual of [(28, 3), 75, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(965, 19712, F9, 3, 13) (dual of [(19712, 3), 59071, 14]-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.