Minimum weights of the Gray images for q = 7 and size = 7^5:


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.

n212835424956637077849198105112119126133140147154161168175182189196203210217224231238245252259266273280287294301308315322329336343350357364371378385392399406413420427434441448455462469476483490497
lin. bounds14-1520-2126-2732-3337-3943-4549-5155-5761-6367-6973-7579-81
best7142128353642495561677379849198103110115121126133140146152159164168175182189195201207210217224231237243249255261267273280286292298301308315321328330336343349355361367373378385392398404410415
Z49-2+1+1+17142128353542495663707077849198105105112119126133140147147154161168175175182189196203210210217224231238245252252259266273280287294294301308315322329336336343350357364371371378385392399406
Z49-2+2+17142128353642495561677379849198103110115121126133140146152159164168175182189195201207210217224231237243249255261267273280286292298301308315321328330336343349355361367373378385392398404410415

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.

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