Hermitian self orthogonal code

Author: haog

August undefined, 2024

Witryna88 Hermitian self-orthogonal linear codes are found and 88 related quantum error-correcting codes with d = 5 are constructed, most of these results are best known … Witryna11 cze 2024 · Hermitian self-orthogonal codes over {\mathbb {F}}_ {q^ {2}} are obtained as the images of constacyclic codes over {\mathbb {F}}_ {q^ {2m}}. Two …

Some new quantum MDS codes derived from generalized Reed …

Witryna18 sie 2024 · The geometry of Hermitian self-orthogonal codes. Simeon Ball, Ricard Vilar. We prove that if then a -dimensional linear code of length over has a truncation … Witryna1 gru 2024 · Jin et al. [32], [33] develop the method in [27], and construct several new families of quantum MDS codes, the main idea of constructing the Hermitian self … girl in songs by barry manilow and the kinks

Quantum codes from cyclic codes over GF (4m) - Semantic Scholar

Witryna27 cze 2004 · Five new classes of q-ary quantum MDS codes utilizing generalized Reed-Solomon codes satisfying Hermitian self-orthogonal property are presented, … http://maths.ccnu.edu.cn/info/1045/28048.htm WitrynaStabilizer codes can be constructed from self-orthogonal classical linear codes: Theorem 1. [24, 1] Let C be a linear [n,k,d] error-correcting code over the ﬁeld Fq2 … function of synovial fluid in synovial joints

Research Article Hermitian Self-Orthogonal Constacyclic Codes …

Quantum stabilizer codes construction from Hermitian self …

Witryna10 kwi 2024 · On the right hand side, for even p, we have (Z N) N p = (Z N) 0, which is the Z N toric code. For odd p, we have (Z N) N p = (Z N) N = U (1) N × U (1) − N, which is the generalization of the double semion model with the semion self-statistics i … WitrynaIn the present paper, we show that if the dimension of an arbitrary algebraic geometry code over a finite field of even characteristic is slightly less than n/2-g with n being the … function of symbols and symbolismWitrynaIn this paper, we first construct several classes of classical Hermitian self-orthogonal maximum distance separable (MDS) codes. Through these classical codes, we are … girl inspired strawberry cheesecake dump cake

"Witryna18 sty 2024 · In 2024, Li et al. constructed some Hermitian self-orthogonal codes with dual distance five over \(\textrm{GF}(q^2)\) for \(q=2,3\) and constructed some good … " - Hermitian self orthogonal code

Hermitian self orthogonal code

WitrynaThere is a corresponding definition of right orthogonal complement. For a reflexive bilinear form, where (,) = implies (,) = for all and in , the left and right complements coincide. This will be the case if is a symmetric or an alternating form.. The definition extends to a bilinear form on a free module over a commutative ring, and to a … WitrynaSesquilinear Hermitian Forms, Quadratic Forms, Finite Fields, Traces, Expo-nential Sums, Codes. 1 Introduction Let F tbe the ﬁnite ﬁeld with telements and characteristic p. Our ﬁrst purpose is to adapt the classical hermitian form Theory on C to the case of the ﬁnite ﬁeld F t2, considering the involution x→ xtin F t

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WitrynaThe Hermitian trace inner product of two vectors over GF(4) of length n, u = ... that additive self-orthogonal codes over GF(4) can be used to represent quantum error-correcting codes [5]. If C is self-dual, then it must be an (n,2n) code. Additive self-dual codes over GF(4) WitrynaB.Sc. (Hons.) Mthematics_21_8_18 IGU university - Read online for free. Bsc hons syllabus for mathematics igu university

Witryna5 lut 2024 · It is easy to see that any Euclidean or Hermitian self-orthogonal (resp. Euclidean or Hermitian self-dual) code has dimension \(k\le \frac{n}{2}\) (resp. \(k= … WitrynaEnter the email address you signed up with and we'll email you a reset link.

Witryna1 paź 2010 · that the code G RS k (b, v 0) is Hermitian self-orthogonal. Now let G RS k ( a , ( β , 1 )) be a Hermitian self-orthogonal [ t + 1 , k ] -generalized RS code … WitrynaIn mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose —that is, the element in the i -th row and j …

WitrynaTable 3. Quaternary Hermitian self-orthogonal codes with n ≤ 21, k ≤ 6 and d ≥ 12 21_6_12.4h_prin

Witrynaﬁnds good stabilizer codes over Fq by considering Hermitian self-orthogonal codes over F q 2 . The speciﬁc and widely used result, Theorem 1.1, shows that an … function of table in microscopeWitryna3 lut 2024 · Stabilizer codes, introduced in \\cite{gottesman}, \\cite{GF(4)}, have been a prominent example of quantum codes constructed via classical codes. The paper … girl inspired strawberry cheesecake browniesWitryna24 lis 2024 · This work proposes a new method related to a special matrix, called the self-orthogonality matrix, obtained by shortening a Reed-Muller code R( 2, 𝑘 ) and … girl in son of godzillaWitryna1 sty 2024 · This matrix generates a [72, 18, 16] 4 Hermitian self-orthogonal code. We note that while this code is not optimal, some of the codes obtained from its orbit … girl in spider\u0027s web trailerWitryna13 lut 2024 · Quantum maximum-distance-separable (MDS for short) codes are an important class of quantum codes. In this paper, by using Hermitian self-orthogonal … function of tachometerWitryna30 sie 2000 · A. Thangaraj, S. McLaughlin. Published 30 August 2000. Computer Science. IEEE Trans. Inf. Theory. We provide a construction for quantum codes … function of systemic circuitWitrynalength r6 nwhich is linearly Hermitian self-orthogonal code if and only if there is an element of P(C) of weight r. Thus, as emphasised in [8], the puncture code is an … function of system call in os