الملخص
For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group. We also lift the theorem that relates the parity check and the generator matrices of linear codes over finite fields to group codes over elementary Abelian groups. Some new codes that are MDS, self-dual, and cyclic over the Abelian group with four elements are given.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol8iss2pp145-151
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 8(2), 145
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
APA 7
Zain, A. A. (2003). On Group Codes Over Elementary Abelian Groups. Sultan Qaboos University Journal for Science, 8(2), 145. https://doi.org/10.24200/squjs.vol8iss2pp145-151
MLA 9
Zain, Adnan A. "On Group Codes Over Elementary Abelian Groups." Sultan Qaboos University Journal for Science, vol. 8, no. 2, 2003, pp. 145. https://doi.org/10.24200/squjs.vol8iss2pp145-151.
شيكاغو (المؤلف–التاريخ)
Zain, Adnan A. 2003. "On Group Codes Over Elementary Abelian Groups." Sultan Qaboos University Journal for Science 8 (2): 145. https://doi.org/10.24200/squjs.vol8iss2pp145-151.
هارفارد
Zain, A. A. (2003) 'On Group Codes Over Elementary Abelian Groups', Sultan Qaboos University Journal for Science, 8(2), pp. 145. doi:10.24200/squjs.vol8iss2pp145-151.
فانكوفر
Zain AA. On Group Codes Over Elementary Abelian Groups. Sultan Qaboos University Journal for Science. 2003;8(2):145. doi:10.24200/squjs.vol8iss2pp145-151
IEEE
A. A. Zain, "On Group Codes Over Elementary Abelian Groups," Sultan Qaboos University Journal for Science, vol. 8, no. 2, pp. 145, 2003, doi: 10.24200/squjs.vol8iss2pp145-151.