English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

A relationship between $s$-extremal singly even self-dual$[24k+8,12k+4,4k+2]$ codes and extremal doubly even self-dual$[24k+8,12k+4,4k+4]$ codes with covering radius meeting the Delsarte bound, isestablished. As an example of the relationship, $s$-extremal singly evenself-dual $[56,28,10]$ codes are constructed for the first time. In addition,we show that there is no extremal doubly even self-dual code of length $24k+8$with covering radius meeting the Delsarte bound for $k \ge 137$. Similarly, weshow that there is no extremal doubly even self-dual code of length $24k+16$with covering radius meeting the Delsarte bound for $k \ge 148$.

On $s$-extremal singly even self-dual $[24k+8,12k+4,4k+2]$ codes