LINEAR CODE WITH COMPLEMENTARY DUAL (LCD CODES) OVER FQ + VFQ + V2FQ + · · · + VM?1FQ
In this thesis, we study linear codes with complementary dual (LCD codes) over the ring Fq + vFq + v2Fq + · · · + vm?1Fq, where q = ps; p is odd prime, and vm = v; which generalize the observation of Melakhessou et al. (2018). We give necessary and sufficient conditions on the existence of LCD co...
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id-itb.:536002021-03-08T08:53:33ZLINEAR CODE WITH COMPLEMENTARY DUAL (LCD CODES) OVER FQ + VFQ + V2FQ + · · · + VM?1FQ Tita, Faldy Indonesia Theses Dual codes, Gray Map, Linear Codes, LCD Codes. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/53600 In this thesis, we study linear codes with complementary dual (LCD codes) over the ring Fq + vFq + v2Fq + · · · + vm?1Fq, where q = ps; p is odd prime, and vm = v; which generalize the observation of Melakhessou et al. (2018). We give necessary and sufficient conditions on the existence of LCD codes and present a method of construction of LCD codes from a combinatorial object, namely from weighing matrices. Futhermore, we conclude that characteristic of LCD codes over the ring is an ideal characteristic form. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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Indonesia |
| description |
In this thesis, we study linear codes with complementary dual (LCD codes) over
the ring Fq + vFq + v2Fq + · · · + vm?1Fq, where q = ps; p is odd prime, and
vm = v; which generalize the observation of Melakhessou et al. (2018). We give
necessary and sufficient conditions on the existence of LCD codes and present a
method of construction of LCD codes from a combinatorial object, namely from
weighing matrices. Futhermore, we conclude that characteristic of LCD codes over
the ring is an ideal characteristic form. |
| format |
Theses |
| author |
Tita, Faldy |
| spellingShingle |
Tita, Faldy LINEAR CODE WITH COMPLEMENTARY DUAL (LCD CODES) OVER FQ + VFQ + V2FQ + · · · + VM?1FQ |
| author_facet |
Tita, Faldy |
| author_sort |
Tita, Faldy |
| title |
LINEAR CODE WITH COMPLEMENTARY DUAL (LCD CODES) OVER FQ + VFQ + V2FQ + · · · + VM?1FQ |
| title_short |
LINEAR CODE WITH COMPLEMENTARY DUAL (LCD CODES) OVER FQ + VFQ + V2FQ + · · · + VM?1FQ |
| title_full |
LINEAR CODE WITH COMPLEMENTARY DUAL (LCD CODES) OVER FQ + VFQ + V2FQ + · · · + VM?1FQ |
| title_fullStr |
LINEAR CODE WITH COMPLEMENTARY DUAL (LCD CODES) OVER FQ + VFQ + V2FQ + · · · + VM?1FQ |
| title_full_unstemmed |
LINEAR CODE WITH COMPLEMENTARY DUAL (LCD CODES) OVER FQ + VFQ + V2FQ + · · · + VM?1FQ |
| title_sort |
linear code with complementary dual (lcd codes) over fq + vfq + v2fq + â· â· â· + vm?1fq |
| url |
https://digilib.itb.ac.id/gdl/view/53600 |
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1822001561243484160 |