Minimum weights of the Gray images for q = 7 and size = 7^4:


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.

n14212835424956637077849198105112119126133140147154161168175182189196203210217224231238245252259266273280287294301308315322329336343350357364371378385392399406413420427434441448455462469476483490497
lin. bounds1015-1621-2227-2834414651-5257-5863-64707682
best6121824303642485560677279849197104109115122127133140146152158165170176182189195201208213219225231238244251256262268274280287294299305311317323329336336343349355361367373379385392398404410416422
Z49-2+1+17142128354242495663707784849198105112119126126133140147154161168168175182189196203210210217224231238245252259266273280287294294294301308315322329336341343350357364371378379385392399406413420
Z49-2+26121824303642485560677279849197104109115122127133140146152158165170176182189195201208213219225231238244251256262268274280287294299305311317323329336336343349355361367373379385392398404410416422

The color scheme indicates how the minimum distance of the Gray image compares to that of the best known linear codes over GF(7). It is as follows:
d There are linear codes over GF(7) with minimum distance higher than d.
d The best known linear codes over GF(7) have minimum distance d.
d It is possible that there are linear codes over GF(7) with minimum distance d or higher, but none is known yet (BTKL=better-than-known-linear).
d There are no linear codes over GF(7) with minimum distance d or higher (BTL=better-than-linear).
d There was no information about the corresponding linear codes over GF(7) in the database.

Back to main page