Tables for BCH codes
Possible Bose distances
The table below lists the possible values of Bose distances $\delta$ of BCH codes, for $2 \leq \mu \leq 12$.
| $\mu$ | $n$ | Bose distances $\delta$ |
|---|---|---|
| $2$ | $3$ | $3$ |
| $3$ | $7$ | $3$, $7$ |
| $4$ | $15$ | $3$, $5$, $7$, $15$ |
| $5$ | $31$ | $3$, $5$, $7$, $11$, $15$, $31$ |
| $6$ | $63$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $21$, $23$, $27$, $31$, $63$ |
| $7$ | $127$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $19$, $21$, $23$, $27$, $29$, $31$, $43$, $47$, $55$, $63$, $127$ |
| $8$ | $255$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $17$, $19$, $21$, $23$, $25$, $27$, $29$, $31$, $37$, $39$, $43$, $45$, $47$, $51$, $53$, $55$, $59$, $61$, $63$, $85$, $87$, $91$, $95$, $111$, $119$, $127$, $255$ |
| $9$ | $511$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $17$, $19$, $21$, $23$, $25$, $27$, $29$, $31$, $35$, $37$, $39$, $41$, $43$, $45$, $47$, $51$, $53$, $55$, $57$, $59$, $61$, $63$, $73$, $75$, $77$, $79$, $83$, $85$, $87$, $91$, $93$, $95$, $103$, $107$, $109$, $111$, $117$, $119$, $123$, $125$, $127$, $171$, $175$, $183$, $187$, $191$, $219$, $223$, $239$, $255$, $511$ |
| $10$ | $1023$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $17$, $19$, $21$, $23$, $25$, $27$, $29$, $31$, $33$, $35$, $37$, $39$, $41$, $43$, $45$, $47$, $49$, $51$, $53$, $55$, $57$, $59$, $61$, $63$, $69$, $71$, $73$, $75$, $77$, $79$, $83$, $85$, $87$, $89$, $91$, $93$, $95$, $99$, $101$, $103$, $105$, $107$, $109$, $111$, $115$, $117$, $119$, $121$, $123$, $125$, $127$, $147$, $149$, $151$, $155$, $157$, $159$, $165$, $167$, $171$, $173$, $175$, $179$, $181$, $183$, $187$, $189$, $191$, $205$, $207$, $213$, $215$, $219$, $221$, $223$, $231$, $235$, $237$, $239$, $245$, $247$, $251$, $253$, $255$, $341$, $343$, $347$, $351$, $363$, $367$, $375$, $379$, $383$, $439$, $447$, $479$, $495$, $511$, $1023$ |
| $11$ | $2047$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $17$, $19$, $21$, $23$, $25$, $27$, $29$, $31$, $33$, $35$, $37$, $39$, $41$, $43$, $45$, $47$, $49$, $51$, $53$, $55$, $57$, $59$, $61$, $63$, $67$, $69$, $71$, $73$, $75$, $77$, $79$, $81$, $83$, $85$, $87$, $89$, $91$, $93$, $95$, $99$, $101$, $103$, $105$, $107$, $109$, $111$, $113$, $115$, $117$, $119$, $121$, $123$, $125$, $127$, $137$, $139$, $141$, $143$, $147$, $149$, $151$, $153$, $155$, $157$, $159$, $163$, $165$, $167$, $169$, $171$, $173$, $175$, $179$, $181$, $183$, $185$, $187$, $189$, $191$, $199$, $201$, $203$, $205$, $207$, $211$, $213$, $215$, $217$, $219$, $221$, $223$, $229$, $231$, $233$, $235$, $237$, $239$, $243$, $245$, $247$, $249$, $251$, $253$, $255$, $293$, $295$, $299$, $301$, $303$, $307$, $309$, $311$, $315$, $317$, $319$, $331$, $333$, $335$, $339$, $341$, $343$, $347$, $349$, $351$, $359$, $363$, $365$, $367$, $371$, $373$, $375$, $379$, $381$, $383$, $411$, $413$, $415$, $423$, $427$, $429$, $431$, $437$, $439$, $443$, $445$, $447$, $463$, $469$, $471$, $475$, $477$, $479$, $491$, $493$, $495$, $501$, $503$, $507$, $509$, $511$, $683$, $687$, $695$, $699$, $703$, $727$, $731$, $735$, $751$, $759$, $763$, $767$, $879$, $887$, $895$, $959$, $991$, $1023$, $2047$ |
| $12$ | $4095$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $17$, $19$, $21$, $23$, $25$, $27$, $29$, $31$, $33$, $35$, $37$, $39$, $41$, $43$, $45$, $47$, $49$, $51$, $53$, $55$, $57$, $59$, $61$, $63$, $65$, $67$, $69$, $71$, $73$, $75$, $77$, $79$, $81$, $83$, $85$, $87$, $89$, $91$, $93$, $95$, $97$, $99$, $101$, $103$, $105$, $107$, $109$, $111$, $113$, $115$, $117$, $119$, $121$, $123$, $125$, $127$, $133$, $135$, $137$, $139$, $141$, $143$, $145$, $147$, $149$, $151$, $153$, $155$, $157$, $159$, $163$, $165$, $167$, $169$, $171$, $173$, $175$, $177$, $179$, $181$, $183$, $185$, $187$, $189$, $191$, $195$, $197$, $199$, $201$, $203$, $205$, $207$, $209$, $211$, $213$, $215$, $217$, $219$, $221$, $223$, $227$, $229$, $231$, $233$, $235$, $237$, $239$, $241$, $243$, $245$, $247$, $249$, $251$, $253$, $255$, $273$, $275$, $277$, $279$, $281$, $283$, $285$, $287$, $291$, $293$, $295$, $297$, $299$, $301$, $303$, $307$, $309$, $311$, $313$, $315$, $317$, $319$, $325$, $327$, $329$, $331$, $333$, $335$, $339$, $341$, $343$, $345$, $347$, $349$, $351$, $355$, $357$, $359$, $361$, $363$, $365$, $367$, $371$, $373$, $375$, $377$, $379$, $381$, $383$, $397$, $399$, $403$, $405$, $407$, $409$, $411$, $413$, $415$, $421$, $423$, $425$, $427$, $429$, $431$, $435$, $437$, $439$, $441$, $443$, $445$, $447$, $455$, $457$, $459$, $461$, $463$, $467$, $469$, $471$, $473$, $475$, $477$, $479$, $485$, $487$, $489$, $491$, $493$, $495$, $499$, $501$, $503$, $505$, $507$, $509$, $511$, $585$, $587$, $589$, $591$, $595$, $597$, $599$, $603$, $605$, $607$, $613$, $615$, $619$, $621$, $623$, $627$, $629$, $631$, $635$, $637$, $639$, $661$, $663$, $667$, $669$, $671$, $679$, $683$, $685$, $687$, $691$, $693$, $695$, $699$, $701$, $703$, $715$, $717$, $719$, $723$, $725$, $727$, $731$, $733$, $735$, $743$, $747$, $749$, $751$, $755$, $757$, $759$, $763$, $765$, $767$, $819$, $821$, $823$, $827$, $829$, $831$, $845$, $847$, $853$, $855$, $859$, $861$, $863$, $871$, $875$, $877$, $879$, $885$, $887$, $891$, $893$, $895$, $925$, $927$, $939$, $941$, $943$, $949$, $951$, $955$, $957$, $959$, $975$, $981$, $983$, $987$, $989$, $991$, $1003$, $1005$, $1007$, $1013$, $1015$, $1019$, $1021$, $1023$, $1365$, $1367$, $1371$, $1375$, $1387$, $1391$, $1399$, $1403$, $1407$, $1455$, $1463$, $1467$, $1471$, $1495$, $1499$, $1503$, $1519$, $1527$, $1531$, $1535$, $1755$, $1759$, $1775$, $1783$, $1791$, $1911$, $1919$, $1983$, $2015$, $2047$, $4095$ |