Minimum weights of the Gray images for q = 5 and size = 5^8:


To get more detailed infos about the codes, click on the entries in the table.
For an explanation of what the different colors mean, look below.

n20253035404550556065707580859095100105110115120125130135140145150155160165170175180185190195200205210215220225230235240245250255260265270275280285290295300305310315320325330335340345350355360365370375380385390395400405410415420425430435440445450455460465470475480485490495
lin. bounds9-1014-1516-1920-2324-2627-3031-3535-3939-4343-4748-5050-5454-5858-6362-6766-7171-7575-7979-8284-8689-909496-98
best481215202428323640414550545861657074778185899195100103107111115119123127131135139143145150154158161165170174178181185189193197201205208212216220224228232236240244248252256260263267271275279283287290295299302306310314318322326330334338341345350353357361365369371
Z25-2+2+2+2481215202428323640414550545861657074778185899195100103107111115119123127131135139142145150154157161165170174177181185189193197201205208212216220224228232236240244248252255259263267270275279282287290295299302306310314318322326330334337341345349353357361365369371
Z5[X]/(X^2)-2+2+2+2481215202428323640414550545861657074778185899195100103107111115119123127131135139143145150154158161165170173178181185189193197201204208212216220224228232236240244248252256260263267271275279283287290295298302306310314318322326330334338341345350353357361365369

The color scheme indicates how the minimum distance of the Gray image compares to that of the best known linear codes over GF(5). It is as follows:
d There are linear codes over GF(5) with minimum distance higher than d.
d The best known linear codes over GF(5) have minimum distance d.
d It is possible that there are linear codes over GF(5) with minimum distance d or higher, but none is known yet (BTKL=better-than-known-linear).
d There are no linear codes over GF(5) with minimum distance d or higher (BTL=better-than-linear).
d There was no information about the corresponding linear codes over GF(5) in the database.

Back to main page