The average dimension of the Hermitian hull of cyclic codes over finite fields of square order
In this paper, the average dimension of the Hermitian hull of cyclic codes of length n over F q 2 , denoted by E H (n, q 2), is studied. Some upper and lower bounds of E H (n, q 2) are given. Moreover, E H (n, q 2) is shown to be zero if and only if n ∈ M q :={ℓ≥1| ℓ divides q i +1 for some odd posi...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Tagungsbericht |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In this paper, the average dimension of the Hermitian hull of cyclic codes of length n over F
q
2
, denoted by E
H
(n, q
2), is studied. Some upper and lower bounds of E
H
(n, q
2) are given. Moreover, E
H
(n, q
2) is shown to be zero if and only if n ∈ M
q
:={ℓ≥1| ℓ divides q
i
+1 for some odd positive integer i} and it grows the same rate as n if n ∉ M
q |
|---|---|
| ISSN: | 0094-243X 1551-7616 |
| DOI: | 10.1063/1.4965146 |