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self-dual codes with larger lengths over z25
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نویسنده
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ahmadi bahram ,alimoradi mohammad reza
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منبع
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مدل سازي پيشرفته رياضي - 2024 - دوره : 14 - شماره : 3 - صفحه:79 -94
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چکیده
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In this study, new definitions of the gray weight and the gray map for linear codes over r = z_25 +uz_25; where u^2 = u is defined. some results on self-dual codes over this ring are investigated. further, the structural properties of quadratic residue codes are also considered. also two self-dual codes with parameters [22; 11; 6]; [24; 12; 8]; over z_25 are obtained.
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کلیدواژه
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gray weight ,self-dual codes ,quadratic residue codes
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آدرس
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malayer university, faculty of mathematical sciences and statistics, department of mathematics, iran, malayer university, faculty of mathematical sciences and statistics, department of mathematics, iran
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پست الکترونیکی
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malimoradisharif@yahoo.com
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self-dual codes with larger lengths over z25
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Authors
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Abstract
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in this study, new definitions of the gray weight and the gray map for linear codes over r = z_25 +uz_25; where u^2 = u is defined. some results on self-dual codes over this ring are investigated. further, the structural properties of quadratic residue codes are also considered. also two self-dual codes with parameters [22; 11; 6]; [24; 12; 8]; over z_25 are obtained.
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Keywords
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gray weight ,self-dual codes ,quadratic residue codes
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