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bchenc - BCH encoder

Note   bchenc will be removed in a future release. Use fec.bchenc instead.

Syntax

code = bchenc(msg,n,k)
code = bchenc(...,paritypos)

Description

code = bchenc(msg,n,k) encodes the message in msg using an [n,k] BCH encoder with the narrow-sense generator polynomial. msg is a Galois array of symbols over GF(2). Each k-element row of msg represents a message word, where the leftmost symbol is the most significant symbol. Parity symbols are at the end of each word in the output Galois array code.

code = bchenc(...,paritypos) specifies whether bchenc appends or prepends the parity symbols to the input message to form code. The string paritypos can be either 'end' or 'beginning'. The default is 'end'.

The tables below list valid [n,k] pairs for small values of n, as well as the corresponding values of the error-correction capability, t.

n	k	t
7	4	1

n	k	t
15	11	1
15	7	2
15	5	3

n	k	t
31	26	1
31	21	2
31	16	3
31	11	5
31	6	7

n	k	t
63	57	1
63	51	2
63	45	3
63	39	4
63	36	5
63	30	6
63	24	7
63	18	10
63	16	11
63	10	13
63	7	15

n	k	t
127	120	1
127	113	2
127	106	3
127	99	4
127	92	5
127	85	6
127	78	7
127	71	9
127	64	10
127	57	11
127	50	13
127	43	14
127	36	15
127	29	21
127	22	23
127	15	27
127	8	31

n	k	t
255	247	1
255	239	2
255	231	3
255	223	4
255	215	5
255	207	6
255	199	7
255	191	8
255	187	9
255	179	10
255	171	11
255	163	12
255	155	13
255	147	14
255	139	15
255	131	18
255	123	19
255	115	21
255	107	22
255	99	23
255	91	25
255	87	26
255	79	27
255	71	29
255	63	30
255	55	31
255	47	42
255	45	43
255	37	45
255	29	47
255	21	55
255	13	59
255	9	63

n	k	t
511	502	1
511	493	2
511	484	3
511	475	4
511	466	5
511	457	6
511	448	7
511	439	8
511	430	9
511	421	10
511	412	11
511	403	12
511	394	13
511	385	14
511	376	15
511	367	16
511	358	18
511	349	19
511	340	20
511	331	21
511	322	22
511	313	23
511	304	25
511	295	26
511	286	27
511	277	28
511	268	29
511	259	30
511	250	31
511	241	36
511	238	37
511	229	38
511	220	39
511	211	41
511	202	42
511	193	43
511	184	45
511	175	46
511	166	47
511	157	51
511	148	53
511	139	54
511	130	55
511	121	58
511	112	59
511	103	61
511	94	62
511	85	63
511	76	85
511	67	87
511	58	91
511	49	93
511	40	95
511	31	109
511	28	111
511	19	119
511	10	121

Examples

See the example on the reference page for the function bchdec.

Limitations

The maximum allowable value of n is 65535.

See Also

bchdec, bchgenpoly, bchnumerr, Block Coding

bchdec

bchgenpoly

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