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self-dual codes

Self-Dual Codes over R_k and Binary Self-Dual Codes

Self-Dual Codes over R_k and Binary Self-Dual Codes

... Self-dual codes are an important class of codes and an extensive literature exists on self- dual codes over finite ...fields. Self-dual codes over ...

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Arithmetic Constructions Of Binary Self-Dual Codes

Arithmetic Constructions Of Binary Self-Dual Codes

... manifold with isolated fixed points, the Topological Equivariant Construction and Pioncar´ e Duality Construction give rise to the same binary self-dual codes, see Proposition A.0.12. In the ...

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ARITHMETIC CONSTRUCTIONS OF BINARY SELF-DUAL CODES

ARITHMETIC CONSTRUCTIONS OF BINARY SELF-DUAL CODES

... Coding theory has interesting connections with other branches of mathematics, in- cluding combinatorial design, lattice theory and invariant theory [CS99, Chapter 3][PH][Ple98]. Codes are also used for ...

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Cyclic Isodual and Formally Self-dual Codes over F_q+vF_q

Cyclic Isodual and Formally Self-dual Codes over F_q+vF_q

... Formally self-dual codes are an interesting family of ...formally self-dual (f.s.d.) codes have been studied ...f.s.d. codes by using circulant matrices in ...f.s.d. ...

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Mass Formula for Self-Dual Codes over Galois Rings GR(p3, r)

Mass Formula for Self-Dual Codes over Galois Rings GR(p3, r)

... Self-dual codes are an important class of linear codes for both theoretical and practical ...classify self-dual codes, that is, to find a repre- sentative for each ...

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Singh

Singh

... formally self-dual (f.s.d.) if the code and its dual have the same weight ...its dual. Since two equivalent codes have the same weight distribution, so the class of formally ...

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Anev

Anev

... even self-dual codes, and to provide restrictions on the weight enumerators of singly even self-dual ...even self-dual codes of length n were given for n ≤ 72 in ...

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Palines

Palines

... Self-dual codes form another fascinating family of codes and are known to be closely related with other objects such as lattices and possess variety of practical applications (see ...Hermitian ...

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Construction of self-dual binary \([2^{2k},2^{2k-1},2^k]\)-codes

Construction of self-dual binary \([2^{2k},2^{2k-1},2^k]\)-codes

... these codes can be obtained as the direct product of two copies of RM(k −1, ...the codes constructed are doubly even and for k = 2 we get two non-isomorphic [16, 8, 4]- ...some self-dual ...

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Jitman

Jitman

... of self-dual abelian codes have been given together with necessary and sufficient conditions for the existence of a self-dual abelian code in GR(p r , ...such self- dual ...

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Kaya

Kaya

... and self-dual ...extremal self-dual examples including codes of length ...5, codes of length 66 are extended, using extension theorems, to obtain new extremal binary ...

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Self-cogenerator modules and their applications

Self-cogenerator modules and their applications

... of self-cogenerator mod- ules that will use in section ...every self-cogenerator module whose endomorphism rings is P P , is continuous (Theorem ...a self-cogenerator ...

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Orthogonal  Direct  Sum  Masking:  A  Smartcard  Friendly  Computation  Paradigm  in  a  Code,  with  Builtin  Protection  against   Side-Channel   and  Fault  Attacks

Orthogonal Direct Sum Masking: A Smartcard Friendly Computation Paradigm in a Code, with Builtin Protection against Side-Channel and Fault Attacks

... 3.1 Example with a binary linear code C of parameters [16, 8, 5] Most smartcards and TPMs are still byte-oriented. In this section, we present the case k = 8 and n = 16, suitable for the AES. Indeed, choosing n < 16 ...

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A Gap Theorem For Half-Conformally-Flat 4-Manifolds

A Gap Theorem For Half-Conformally-Flat 4-Manifolds

... Proof of Proposition 1.6. On the regular part of the orbifold, the Hodge-harmonic self-dual 2-form η satisfies the equation, ∆η = scal 3 η. In particular, the improved inequality (3.23) still holds. Then we ...

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An economic approach to the self : the dual agent

An economic approach to the self : the dual agent

... The best economical approach should therefore be to describe the unconscious as a second, permanent and fully rational agent, acting alongside the conscious, yet distinct from the latter[r] ...

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A Review of Economic Dual Self Modelling

A Review of Economic Dual Self Modelling

... The models presented in Embrey (2017) and (Embrey & Kaivanto 2018) are unique in focussing on the dynamic consequences of decision-making under conflicting motivations, rather than calculating a rational agent’s ...

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Dual Role of a Viral Polymerase in Viral Genome Replication and Particle Self Assembly

Dual Role of a Viral Polymerase in Viral Genome Replication and Particle Self Assembly

... virus self-assembly model, to probe the potential roles of the RdRp in dsRNA virus ...complex self-assembly process and contributes to its conformational sta- bility and ...the self-assembly ...the ...

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Dual selfhood and self-perfection in Plotinus? 'Enneads'

Dual selfhood and self-perfection in Plotinus? 'Enneads'

... of dual selfhood has ethical norms built into it, all of which derive from the ontological superiority of the higher (or undescended) soul in us over the body- soul ...of self-perfection, devoted to the ...

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Personal Codes in Longitudinal Studies III. The Empirical Test of Fault-Tolerant Linkage of Unencrypted and Encrypted Self-Generated Codes

Personal Codes in Longitudinal Studies III. The Empirical Test of Fault-Tolerant Linkage of Unencrypted and Encrypted Self-Generated Codes

... liegt hier bei maximal 1,6 %. Demgegenüber waren die Fragen nach den jeweils letzten Buchstaben der eigenen Haar- und Augenfarbe aber auch des eigenen Nachnamens deutlich weniger erfolgreich (Fehlerquote zwischen 6,4 und  ...

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The influence of three endodontic sealers on bone healing: an experimental study

The influence of three endodontic sealers on bone healing: an experimental study

... new dual-cure root canal filling material based on hydroxyapatite (NEM), de- veloped in collaboration with Raluca Ripan Institute for Research in Chemistry, Cluj-Napoca, ...

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