[PDF] Top 20 Distance properties of convolutional codes over Z pr
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Distance properties of convolutional codes over Z pr
... representation of a transformation of information (or storage) from a source to a receiver can be represented as in Figure ...Each of them is transformed into a digital form (a group of ... See full document
102
MDP periodically time-varying convolutional codes
... Convolutional codes [6] are an important type of error correcting codes that can be represented as a time-invariant discrete linear system over a finite field ...maximum distance ... See full document
8
Maximum distance separable 2D convolutional codes
... use of the so-called superregular ...required properties. However, to illustrate the results of the paper we also show (in Section V) how to use a circulant Cauchy matrix over a finite field ... See full document
23
Series concatenation of 2D convolutional codes by means of input-state-output representations
... the properties of two-dimensional (2D) convolutional codes which are obtained from series concatenation of two 2D convolutional ...2D convolutional codes and make ... See full document
18
A state space approach to periodic convolutional codes
... time-varying convolutional codes from a sys- tem theoretical point of ...These codes have attracted much attention after Costello conjectured in [5] that nonsystematic time-varying ... See full document
11
Complete j-MDP convolutional codes
... Abstract—Maximum distance profile (MDP) convo- lutional codes have been proven to be very suitable for transmission over an erasure ...subclass of complete MDP convolutional ... See full document
15
Decoding of 2D convolutional codes over an erasure channel
... transmitting over an erasure channel the symbols sent either arrive correctly or they are ...study of one-dimensional (1D) convolutional codes over an erasure channel [ 2 , 14 , 15 , 16 ... See full document
15
On minimality of convolutional ring encoders
... the properties of “delay-free” and “catastrophic” to be properties of the code rather than the encoding ...type of polynomial encoder, named “p-encoder”, we show in section III that ... See full document
8
Burst Erasure Correction of 2D convolutional codes
... transmitting over an erasure channel the symbol sent either arrive correctly or they are ...instance of such a channel. One of the problems that arises in this channel is that some packets get lost ... See full document
8
On duals and parity-checks of convolutional codes over Z p r
... structural properties of its dual C ⊥ ...matrix of C ⊥ . Moreover, we show that the transpose of such a matrix is a parity-check matrix (also called syndrome former) of ... See full document
18
Column distances of convolutional codes over Z_p^r
... Maximum Distance Profile codes over finite non-binary fields have been introduced and thoroughly studied in the last ...These codes have the property that their column distances are maximal ... See full document
21
Realization of 2D convolutional codes of rate 1/n by separable Roesser models
... constructions of good convolutional codes can be used to construct good 2D convolutional ...construction of optimal 2D convolutional codes of rate 1/n was solved in ... See full document
12
Input-state-output representations and constructions of finite-support 2D convolutional codes
... mD convolutional codes with commutative algebra and algebraic ...multidimensional convolutional codes and ...concept of mD convolutional code from the symbolic dynamical point ... See full document
13
MDS 2D convolutional codes with optimal 1D horizontal projections
... existence of optimal convolutional codes for any given set of Forney indices was left as an open ...class of matrices that allowed to exhibit convolu- tional codes with this ... See full document
20
On the Codes over a Semilocal Finite Ring
... structure of cyclic, quasi cyclic, constacyclic codes and their skew codes over the finite ring ...images of cyclic, quasi cyclic, skew cyclic, skew quasi cyclic and skew constacyclic ... See full document
10
The non-existence of perfect 2-error correcting Lee codes of word length 7 over Z
... types of tilings can be regarded as error correcting codes which are essential on correct transmission of information over a noisy channel, see [9] and ...tilings of R n by crosses and ... See full document
267
On Minimality of ISO Representation of Basic 2D Convolutional Codes
... A matrix is left factor prime (ℓF P ) / left zero prime (ℓZP ) if its trans- pose is rF P / rZP , respectively. When we consider polynomial matrices in one indeterminate, the notions (b) and (c) of the above ... See full document
15
Superregular matrices and applications to convolutional codes
... construction of LT-superregular ...constructions of these matrices [1, 6, 7] although they need large field ...construct convolutional codes with optimal distance properties only ... See full document
20
Alternant and BCH codes over certain rings
... of the modified Berlekamp-Massey algorithm [11] to find the solutions of Eq. (1), that hold for commutative rings with identity. We call attention to the fact that in rings care must be taken regarding zero ... See full document
15
Lossy source coding using belief propagation and soft-decimation over LDGM codes
... representation of the decimation step, with the help of an indicator function, and have included it into the BP update ...instead of a ’hard’ ... See full document
6
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