Minimum weights of the Gray images for q = 5 and size = 5^6:


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.

n1520253035404550556065707580859095100105110115120125130135140145150155160165170175180185190195200205210215220225230235240245250255260265270275280285290295300305310315320325330335340345350355360365370375380385390395400405410415420425430435440445450455460465470475480485490495
lin. bounds81216202428-2930-3234-3639-4043-4446-4850-5254-5658-6062-6466-6870-7275-7679-8082-8486-8891-9295-9699-100
best4812162024283236404448535760656974788183909595100104108112116120124128132136140143147151154158162166170175179183187191195200203207211215220224227231235240242245250254258262266270275279283287291295300303307311315320323327330333337341345350354358362366370375379383386
Z25-2+1+1+1+15101015202530303540454550556060657075808085909595100105110110115120125130130135140145145150155160165165170175180180185190195200200205210215220220225230235235240245250255255260265270275275280285290295295300305310310315320325330330335340345350350355360365370370
Z25-2+2+1+151015152025303540404550545560657070758085899195100105108110115120125129130135140145146150155160164166170175180185186190195200204207210215220225227230235240244246250255260264266270275280284287290295300304307310315320324327330335340344346350355360363366370375380383
Z25-2+2+24812162024283236404448535760656974767983879195100104108112116120124128131136140143147151154158162166170175179183187191195200203207211215220223227231233237241245250254258262266270275279283286290295299303307310314318320325330333337341345350354358362366370375379382386
Z5[X]/(X^2)-2+1+1+1+15101015202530303540454550556060657075808085909595100105110110115120125130130135140145145150155160165165170175180180185190195200200205210215220220225230235235240245250255255260265270275275280285290295295300305310310315320325330330335340345350350355360365370370
Z5[X]/(X^2)-2+2+1+151015152025303540404550545560657070758085899195100105108110115120125129130135140145146150155160164166170175180185186190195200204207210215220225227230235240244246250255260264266270275280284287290295300304307310315320324327330335340344346350355360363366370375380383
Z5[X]/(X^2)-2+2+24812162024283236404448535760656974788183909595100104108112116120124128132136140143147151154158162166170175179183187191195200203207211215220224227231235240242245250254258262266270275279283287291295300303306311315320323327330333337341345350354358362366370375379383386

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.

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