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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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/53600 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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. |
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