Tables for BCH codes
Possible Bose distances
The table below lists the possible values of Bose distances $\delta$ of BCH codes, for $2 \leq \mu \leq 10$.
| $\mu$ | $n$ | Bose distances $\delta$ |
|---|---|---|
| $2$ | $3$ | $3$ |
| $3$ | $7$ | $3$, $7$ |
| $4$ | $15$ | $3$, $5$, $7$, $15$ |
| $5$ | $31$ | $3$, $5$, $7$, $11$, $15$, $31$ |
| $6$ | $63$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $21$, $23$, $27$, $31$, $63$ |
| $7$ | $127$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $19$, $21$, $23$, $27$, $29$, $31$, $43$, $47$, $55$, $63$, $127$ |
| $8$ | $255$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $17$, $19$, $21$, $23$, $25$, $27$, $29$, $31$, $37$, $39$, $43$, $45$, $47$, $51$, $53$, $55$, $59$, $61$, $63$, $85$, $87$, $91$, $95$, $111$, $119$, $127$, $255$ |
| $9$ | $511$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $17$, $19$, $21$, $23$, $25$, $27$, $29$, $31$, $35$, $37$, $39$, $41$, $43$, $45$, $47$, $51$, $53$, $55$, $57$, $59$, $61$, $63$, $73$, $75$, $77$, $79$, $83$, $85$, $87$, $91$, $93$, $95$, $103$, $107$, $109$, $111$, $117$, $119$, $123$, $125$, $127$, $171$, $175$, $183$, $187$, $191$, $219$, $223$, $239$, $255$, $511$ |
| $10$ | $1023$ | $3$, $5$, $7$, $9$, $11$, $13$, $15$, $17$, $19$, $21$, $23$, $25$, $27$, $29$, $31$, $33$, $35$, $37$, $39$, $41$, $43$, $45$, $47$, $49$, $51$, $53$, $55$, $57$, $59$, $61$, $63$, $69$, $71$, $73$, $75$, $77$, $79$, $83$, $85$, $87$, $89$, $91$, $93$, $95$, $99$, $101$, $103$, $105$, $107$, $109$, $111$, $115$, $117$, $119$, $121$, $123$, $125$, $127$, $147$, $149$, $151$, $155$, $157$, $159$, $165$, $167$, $171$, $173$, $175$, $179$, $181$, $183$, $187$, $189$, $191$, $205$, $207$, $213$, $215$, $219$, $221$, $223$, $231$, $235$, $237$, $239$, $245$, $247$, $251$, $253$, $255$, $341$, $343$, $347$, $351$, $363$, $367$, $375$, $379$, $383$, $439$, $447$, $479$, $495$, $511$, $1023$ |