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pro vyhledávání: '"Hua Chieh Li"'
Autor:
Hua Chieh Li
Publikováno v:
Archiv der Mathematik. 117:133-140
We show that for a quadratic polynomial $$f(x)=x^2-c$$ , where $$c=(8k+2)(8k+3)$$ or $$c=(4k+1)(4k+2)+1$$ with $$k\in {\mathbb {N}}\cup \{0\}$$ , the Galois group of the splitting field of each iterate $$f^n$$ of f is isomorphic to the automorphism g
Autor:
Hua Chieh Li
Publikováno v:
Archiv der Mathematik. 114:265-269
We give a description of the arboreal Galois representation of a quadratic polynomial $$f(x)=x^2-(4k+1)$$, where $$k\in {\mathbb {N}}$$ and $$4k+1$$ is not a square in $${\mathbb {Z}}$$.
Autor:
Hua Chieh Li
Publikováno v:
Communications in Algebra. 46:4777-4786
In this note, we define the height of an element in the Nottingham group and use heights to determine which abelian subgroups of the Nottingham group correspond to ℤp×ℤp-extensions of characteristic 0 local fields by the field of norms functor.
Autor:
Ming-Yang Chen, Hua Chieh Li
Publikováno v:
IEEE Transactions on Information Theory. 55:557-563
Nonvanishing determinants have emerged as an attractive criterion enabling a space-time code achieve the optimal diversity-multiplexing gains tradeoff. It seems that cyclic division algebras play the most crucial role in designing a space-time code w
Autor:
Hua Chieh Li
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 18:313-348
In this paper, we give a general criterion to determine when a complex space-time block code has a ring structure and then we provide a complete list of complex space-time block codes which have ring structures up to size 4.
Autor:
Hua Chieh Li
Publikováno v:
Journal of Number Theory. 123:59-70
Lubin conjectures that for an invertible series to commute with a noninvertible series with only simple roots of iterates, two such commuting power series must be endomorphisms of a single formal group. In this paper, we show that if the reduction of
Publikováno v:
IEEE Transactions on Information Theory. 53:836-843
This correspondence presents new rate-1 space-time block codes (STBCs) attending full diversity over every quadrature amplitude modulation (QAM) constellation when the number of Tx antennas is a power of two. From the simulation results, our design p
Autor:
Liang Chung Hsia, Hua Chieh Li
Let $G\subset x{\mathbb F}_q[\![x]\!]$ ($q$ is a power of the prime $p$) be a subset of formal power series over a finite field such that it forms a compact abelian $p$-adic Lie group of dimension $d\ge 1$. We establish a necessary and sufficient con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6483ae4f809b709d88f48d80890c5412
http://arxiv.org/abs/1502.06815
http://arxiv.org/abs/1502.06815
Autor:
Hua Chieh Li
Publikováno v:
Acta Arithmetica. 120:69-77
Publikováno v:
IEEE Transactions on Information Theory. 51:324-330
The design potential of using quaternionic numbers to identify a 4/spl times/4 real orthogonal space-time block code has been exploited in various communication articles. Although it has been shown that orthogonal codes in full-rate exist only for 2