𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Necessary and Sufficient Condition for the Existence of Some Ternary [n, k, d] Codes Meeting the Greismer Bound

✍ Scribed by Noboru Hamada

Book ID
110261351
Publisher
Springer
Year
1997
Tongue
English
Weight
166 KB
Volume
10
Category
Article
ISSN
0925-1022

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A characterization of some {3vμ + 1, 3vμ
A characterization of some {3vμ + 1, 3vμ; k - 1, q}-minihypers and some [n, k, qk-1 - 3qμ; q]-codes (k ⩾ 3, q ⩾ 5, 1 ⩽ μ < k - 1) meeting the Griesmer bound
✍ Noboru Hamada; Tor Helleseth 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 433 KB

For any In, k, d; q]-code the Griesmer bound says that n >t ~ F d/q' 7. The purpose of this paper is to characterize all In, k, qk-1 \_ 3q~; q]-codes meeting the Griesmer bound in the case where k >/3, q >~ 5 and 1 ~</~ < k -1. It is shown that all such codes have a generator matrix whose columns co