Information on Result #1195078
Digital (43, 55, 21858)-net over F16, using net defined by OOA based on linear OOA(1655, 21858, F16, 14, 12) (dual of [(21858, 14), 305957, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1655, 65575, F16, 2, 12) (dual of [(65575, 2), 131095, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1655, 65576, F16, 2, 12) (dual of [(65576, 2), 131097, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(169, 38, F16, 2, 6) (dual of [(38, 2), 67, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,69P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OOA(1646, 65538, F16, 2, 12) (dual of [(65538, 2), 131030, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1646, 131076, F16, 12) (dual of [131076, 131030, 13]-code), using
- trace code [i] based on linear OA(25623, 65538, F256, 12) (dual of [65538, 65515, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- trace code [i] based on linear OA(25623, 65538, F256, 12) (dual of [65538, 65515, 13]-code), using
- OOA 2-folding [i] based on linear OA(1646, 131076, F16, 12) (dual of [131076, 131030, 13]-code), using
- linear OOA(169, 38, F16, 2, 6) (dual of [(38, 2), 67, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(1655, 65576, F16, 2, 12) (dual of [(65576, 2), 131097, 13]-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.