Maximum Distance Separable Convolutional Codes

1999 ◽  
Vol 10 (1) ◽  
pp. 15-32 ◽  
Author(s):  
Joachim Rosenthal ◽  
Roxana Smarandache
Keyword(s):  
Convolutional Codes ◽  
Maximum Distance ◽  
Maximum Distance Separable

scholarly journals Maximum Distance Separable 2D Convolutional Codes

2016 ◽  
Vol 62 (2) ◽  
pp. 669-680 ◽  
Author(s):  
Joan-Josep Climent ◽  
Diego Napp ◽  
Carmen Perea ◽  
Raquel Pinto
Keyword(s):  
Convolutional Codes ◽  
Maximum Distance ◽  
Maximum Distance Separable

Maximum Distance Separable Hankel Rhotrices over Finite Fields

2018 ◽  
Vol 43 (1-4) ◽  
pp. 13-45
Author(s):  
Prof. P. L. Sharma ◽  
◽  
Mr. Arun Kumar ◽  
Mrs. Shalini Gupta ◽  
◽  
...  
Keyword(s):  
Finite Fields ◽  
Maximum Distance ◽  
Maximum Distance Separable

On the existence and construction of maximum distance profile convolutional codes

2021 ◽  
Vol 75 ◽  
pp. 101877
Author(s):  
Ángel Luis Muñoz Castañeda ◽  
Francisco J. Plaza-Martín
Keyword(s):  
Convolutional Codes ◽  
Maximum Distance ◽  
Maximum Distance Profile

Symbol-Pair Distances of Repeated-Root Negacyclic Codes of Length 2s over Galois Rings

2021 ◽  
Vol 28 (04) ◽  
pp. 581-600
Author(s):  
Hai Q. Dinh ◽  
Hualu Liu ◽  
Roengchai Tansuchat ◽  
Thang M. Vo
Keyword(s):  
Finite Field ◽  
Galois Ring ◽  
Maximum Distance ◽  
Galois Rings ◽  
Constacyclic Codes ◽  
Chain Ring ◽  
Negacyclic Codes ◽  
Singleton Bound ◽  
Maximum Distance Separable ◽  
Special Case

Negacyclic codes of length [Formula: see text] over the Galois ring [Formula: see text] are linearly ordered under set-theoretic inclusion, i.e., they are the ideals [Formula: see text], [Formula: see text], of the chain ring [Formula: see text]. This structure is used to obtain the symbol-pair distances of all such negacyclic codes. Among others, for the special case when the alphabet is the finite field [Formula: see text] (i.e., [Formula: see text]), the symbol-pair distance distribution of constacyclic codes over [Formula: see text] verifies the Singleton bound for such symbol-pair codes, and provides all maximum distance separable symbol-pair constacyclic codes of length [Formula: see text] over [Formula: see text].

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