There are great many non linear codes and we can hope to find some of them that fill the space much more than linear codes do. The Preparata codes, for example, contain twice as many codewords as the double-error-correcting BCH code of the same length: they are optimal codes, i. e....
A method is given for the construction of linear codes with pre-scribed minimum distance and also prescribed minimum distance of the dualcode. This works for codes over arbitrary nite elds. In the case of binarycodes Matsumoto et al. showed how such codes can be used to construct cryp-to...
,N−1}. A linear code C over Γ of length N is an Γ-submodule of ΓN. The ambient space ΓN is equipped with the usual Euclidian inner product, i.e., [a,b]E=∑j=0N−1ajbj, where a=(a0,a1,…,aN−1)∈ΓN, b=(b0,b1,…,bN−1)∈ΓN. The dual code of C is...
response of the circuit is synchronized with the microwave tone at frequency f, and the corresponding emergence of flat steps in the d.c. response with current 2ef, equal to the transport of a Cooper pair per tone period. This work extends phase–charge duality to Josephson circuits, which ...
Use Android.Media.AudioTrackDualMonoMode enum directly instead of this field. This mode indicates that a stereo stream should be presented with the left and right audio channels blended together and delivered to both channels. C# コピー [Android.Runtime.Register("DUAL_MONO_MODE_LR", ApiSince...
Another special property of the linear code and its dual is that the generator matrices do not have a zero row, hence in the built VSSSS, each participant gets non-null shares for any given secret. Due to these properties, our VSSSS qualifies for the conventional criteria for “good” ...
An integer linear program solver using a Lagrange decomposition into binary decision diagrams. Lagrange multipliers are updated through min-marginal averaging (a form of dual block coordinate ascent). Sequential and parallel CPU solvers are provided as well as a massively parallel GPU implementation. In...
process, the presence of a linear scaling relationship makes it rather challenging to simultaneously optimize and tune the adsorption of each oxygenated intermediate species at the single active site28, which seriously limits the design flexibility and catalytic activity29. ...
摘要: We recall why linear codes with complementary duals (LCD codes) play a role in counter-measures to passive and active side-channel analyses on embedded cryptosystems. The rate and the minimum...关键词: Linear codes with complementary duals (LCD Cyclic codes Bose, Ray-Chaudhuri and ...
The present formulation fulfills both the balances of linear momentum and angular momentum exactly. Neither the 'partial stress tensor' nor the 'slice' technique is needed to ameliorate the ghost force issue. We will show that the traditional peridynamics can be derived as a special case of the...