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Quadratic Forms, Generalized Hamming Weights of Codes and Curves with Many Points

✍ Scribed by Gerard van der Geer; Marcel van der Vlugt


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
791 KB
Volume
59
Category
Article
ISSN
0022-314X

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Generalized Reed–Muller Codes and Curves
✍ G van der Geer; M van der Vlugt 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 236 KB

Words of low weight in trace codes correspond to curves with many points and the same holds for subcodes of low weight via the fibre product construction. In 1996 Heijnen and Pellikaan gave an algorithm to determine a basis of minimum weight subcodes of generalized Reed Muller codes. We show how thi