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List decoding of maximal order codes over number fields

FINITE FIELDS AND THEIR APPLICATIONS 2024年 93卷

作者： Kourani, Nasim Abdi Khodaiemehr, Hassan Nikmehr, Mohammad Javad KN Toosi Univ Technol Fac Math Dept Pure Math POB 167653381 Tehran Iran KN Toosi Univ Technol Fac Math Dept Comp Sci & Stat POB 167653381 Tehran Iran Inst Res Fundamental Sci IPM Sch Math Tehran 193955746 Iran

In this paper, we provide two distinct list decoding algorithms tailored for specific classes of maximal order number field codes. The first algorithm focuses on the unit codes, while the second algorithm is dedicated to the Arakelov divisor-based number field codes. These codes were originally introduced by Maire and Oggier. To achieve our decoding goals, we utilize the list decoding algorithm for general number field codes proposed by Biasse and Quintin. Our approach involves carefully calculating the required parameter B from Biasse and Quintin's algorithm, and adjusting the returned list to satisfy the desired conditions. For unit codes, we consider two cases: when the underlying number field is totally real and when it has an arbitrary signature. We separate these cases because the parameter B can be improved in the totally real scenario. Additionally, we present our list decoding algorithm for Arakelov divisor-based number field codes, focusing on number fields with arbitrary signatures.(c) 2023 Elsevier Inc. All rights reserved.

关键词： Algebraic code List decoding Number field code Arakelov divisor unit code

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Ibm :: System3 :: Gc21-5076-2 System3 Model15 Sysmsgs Dec75

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2016年

Ibm :: System3 :: Gc21-5076-2 System3 Model15 Sysmsgs Dec75 by published by

关键词： contact ibm control statement controlled dec75 default display unit file file statement gc21-5076-2 message message code message severity model15 probable probable user program recovery severity severity default statement sysmsgs system3 unit code user volume identification

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Bstj 60: 6. July-August 1981: No. 4 Ess: Evolution of Software Structure. (Carestia, P.D.;Hudson, F.S.)

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2016年

Bstj 60: 6. July-August 1981: No. 4 Ess: Evolution of Software Structure. (Carestia, P.D.; Hudson, F.S.) by published by

关键词： (carestia, call call processing control evolution f.s.) fault fault recovery hudson, operating system outgoing trunk peripheral program recovery report dispenser software software structure system technical task task programs trunk unit unit code unit fault

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Model 37 Terminal Product Catalog - Teletype 1969

引用

2017年

[Auto Generated] Introduction and Catalog Use. 2 Model 37 Terminals: . Brief Description. 3 General Characteristics. 3 Model 37 Terminal Components: Control Panel. 5 Keyboard. 7 Page Printer.:. 8 Control Logic Module. 10 Model 37 Cabinets, Paper Handling, and Miscellaneous. 11 Model 37 Punch and Reader Module. 12 Punch. 12 Reader. 13 Model 37/100 Receive Only Sets (RO). 14 Model 37/200 Keyboard Send-Receive Sets (KSR). 19 Model 37/300 Automatic Send-Receive Sets (ASR). 20 Model 37/400 Punch and

关键词： ascii ascii control catalog character control control character control logic control panel feed feed platen friction feed key model pin feed printer product punch reader teletype terminal unit code vertical tabulation wide table

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Amd :: Multibus :: 00680108RC 95-6110 May80

引用

2016年

Amd :: Multibus :: 00680108RC 95-6110 May80 by published by

关键词： 00680108rc address amc amc macro command data data address disk controller dma fdc fdc board floppy disk macro assem may80 mov multibus mvi single density status bit track unit code word count

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