🛢️ 🍻 🖕 分步代码：Aztec代码 🈂️ 👩🏼‍🍳 🏭

您还对代码感到厌倦吗？我希望不会，因为今天我们将看一下阿兹台克代码-您可以在智能手机上以电子版的登机牌看到航班上的登机牌，或者在火车票上或其他地方看到它们。

这些代码之一显示在本文的左侧。当然，您只需拿起电话，打开用于读取代码的特殊应用程序，然后“读取”即可。但是，如果您对如何编写，阅读这些代码以及它们可能包含的信息感兴趣，那么欢迎关注。

我想向您详细介绍代码列表中的下一个。让我们开始吧。

注意，在剪切下-8张图像，总大小为0.8 MB，5张表和一些公式。

01.阿兹台克人代码的历史和使用权利

（返回 | 目录 | 前进）

1995 Welch Allyn Data Collection Inc, 1997 5 591 956 ( Google Patents). . . , Aztec Code, "" , .

Aztec Code .

, , ISO/IEC 24778:2008, — (158 CHF — ). - ?

Aztec Code , ( ) , ( 02), .
() ( ) () ( 04).
Aztec Code " ". , ( 06) .
Aztec Code -. , ( 07).
"-" ( ) . , .

02.

( | | )

. 1. Aztec Code

Aztec Code ( , , . 1) :

(13 13 , );
4 ( );
( 40 , — 5 , — 11 - — 24 );

(Core structure) ( 15 x 15).

1 0 (Reference), , , .

, 1 . , 15 , — 1. Aztec 15 15 , (data fields).

, Aztec Code, reference-, (9 x 9 ) 4 (. 2).

. 2. Aztec Code

, 2 6 . 20 .

03.

( | | )

. 3. Aztec Code 5 2,

, . , 52 ( / ). , . 3, "1" , "10" — .

, 10, 9 . , "1" "9" 0 1. , 1 0 . , .

( 1/256 ) , 0 1 " ".

( ), 1 ( , 9 1, — 0).

, Aztec Code, — , . , — , (. 1).


1: 2	6
3: 8	8
9: 22	10
23: 32	12

. 1. Aztec Code

, , :

$B-1$ 0 1, 1 0 , $B$ — .

04.

( | | )

1 . 5 2 (3 2, 4 2 6 2) , .

, 12 , .

"" reference-. , (. 4), .

. 4. 5 2 (4 12 27)

, . , " ", ( . 5):

, ( 2), , (2 1 ) ;
, (2 1 ) .

. 5. -

12 27 . reference- 15 , 52 . , , — . (. 4).

. ( ). ( ) ( ). . ( , 02) .

05.

( | | )

- Aztec Code (. 2) , . , , .

. 2

##		( , )
1	19 x 19	21 (6)	126	18	15	8
2	23 x 23	48 (6)	288	49	40	24
3	27 x 27	60 (8)	480	84	68	40
4	31 x 31	88 (8)	704	128	104	62
5	37 x 37	120 (8)	960	178	144	87
6	41 x 41	156 (8)	1 248	232	187	114
7	45 x 45	196 (8)	1 568	294	236	145
8	49 x 49	240 (8)	1 920	362	291	179
9	53 x 53	230 (10)	2 300	433	348	214
10	57 x 57	272 (10)	2 720	516	414	256
11	61 x 61	316 (10)	3 160	601	482	298
12	67 x 67	364 (10)	3 640	691	554	343
13	71 x 71	416 (10)	4 160	793	636	394
14	75 x 75	470 (10)	4 700	896	718	446
15	79 x 79	528 (10)	528 0	1 008	808	502
16	83 x 83	588 (10)	588 0	1 123	900	559
17	87 x 87	652 (10)	6 520	1 246	998	621
18	91 x 91	720 (10)	7 200	1 378	1 104	687
19	95 x 95	790 (10)	7 900	1 511	1 210	753
20	101 x 101	864 (10)	8 640	1 653	1 324	824
21	105 x 105	940 (10)	9 400	1 801	1 442	898
22	109 x 109	1 020 (10)	10 200	1 956	1 566	976
23	113 x 113	920 (12)	11 040	2 116	1 694	1 056
24	117 x 117	992 (12)	11 904	2 281	1 826	1 138
25	121 x 121	1 066 (12)	12 792	2 452	1 963	1 224
26	125 x 125	1 144 (12)	13 728	2 632	2 107	1 314
27	131 x 131	1 224 (12)	14 688	2 818	2 256	1 407
28	135 x 135	1 306 (12)	15 672	3 007	2 407	1 501
29	139 x 139	1 392 (12)	16 704	3 205	2 565	1 600
30	143 x 143	1 480 (12)	17 760	3 409	2 728	1 702
31	147 x 147	1 570 (12)	18 840	3 616	2 894	1 806
32	151 x 151	1 664 (12)	19 968	3 832	3 067	1 914

. 2. Aztec Code .

Aztec Code (. 3).

##		( , )
1	15 x 15	17 (6)	102	13	12	6
2	19 x 19	40 (6)	240	40	33	19
3	23 x 23	51 (8)	408	70	57	33
4	27 x 27	76 (8)	608	110	89	53

. 3. Aztec Code .

Aztec Code, , .

06.

( | | )

. , ( 02), , .

Aztec Code 5 . , $L-1$ 0 31, $L$ 1 32.

Aztec Code 2 , 0 3 $L$ 1 4.

$L$ , ( $C_w$ ) ( $B$ ).

6 ( 0 63, AC) 11 ( 0 2 047, AC) $D - 1$ . , $D$ 0 64 2 048 .

, , . , $D \leq 0.77C_w - 3$ . "" .

Aztec Code () . 1, $C_w$ .

— 4 , $GF(16)$ $x^4+x+1$ . , , Aztec Code.

, 1 (. 1, . 2) ( 1 -> 2 -> 3 -> 4 -> 1). , , — .

07.

( | | )

. 4;
$B$ , — $D$ ;
$K = C_w - D$ ;
$D + K$ $L$ 1 ( 02) , 04;
, , 0.

Upper. , .

##	Upper (ASCII)	Lower (ASCII)	Mixed (ASCII)	Punctuation (ASCII)	Digit (ASCII)
0	`ps`	`ps`	`ps`	`FLG (n)`	`ps`
1	SP (32)	SP (32)	SP (32)	CR (13)	SP (32)
2	A (65)	a (97)	SOH (1)	CR LF (13 10)	0 (48)
3	B (66)	b (98)	STX (2)	. SP (46 32)	1 (49)
4	C (67)	c (99)	ETX (3)	, SP (44 32)	2 (50)
5	D (68)	d (100)	EOT (4)	: SP (58 32)	3 (51)
6	E (69)	e (101)	ENQ (5)	! (33)	4 (52)
7	F (70)	f (102)	ACK (6)	" (34)	5 (53)
8	G (71)	g (103)	BEL (7)	# (35)	6 (54)
9	H (72)	h (104)	BS (8)	$ (36)	7 (55)
10	I (73)	i (105)	HT (9)	% (37)	8 (56)
11	J (74)	j (106)	LF (10)	& (38)	9 (57)
12	K (75)	k (107)	VT (11)	' (39)	, (44)
13	L (76)	l (108)	FF (12)	( (40)	. (46)
14	M (77)	m (109)	CR (13)	) (41)	`ul`
15	N (78)	n (110)	ESC (27)	* (42)	`us`
16	O (79)	o (111)	FS (28)	+ (43)
17	P (80)	p (112)	GS (29)	, (44)
18	Q (81)	q (113)	RS (30)	— (45)
19	R (82)	r (114)	US (31)	. (46)
20	S (83)	s (115)	@ (64)	/ (47)
21	T (84)	t (116)	\ (92)	: (58)
22	U (85)	u (117)	^ (94)	; (59)
23	V (86)	v (118)	_ (95)	< (60)
24	W (87)	w (119)	` (96)	= (61)
25	X (88)	x (120)	\| (124)	> (62)
26	Y (89)	y (121)	~ (126)	? (63)
27	Z (90)	z (122)	DEL (127)	[ (91)
28	`ll`	`us`	`ll`	] (93)
29	`ml`	`ml`	`ul`	{ (123)
30	`dl`	`dl`	`pl`	} (125)
31	`bs`	`bs`	`bs`	`ul`

. 4. ASCII, Aztec Code

ul, ll, ml, pl, dl — upper, lower, mixed, punctuation digit (l = latch);
us, ps — upper punctuation (s = shift) (5 ).

FLG(n) — , ( ). ECI (Extended Channel Interpretation) .

, , Aztec Code, .

bs . 5 .

5 1 31 — ;
0, 11 , 31.

, , 2 047 + 31 .

08.

( | | )

, , Aztec Code -. , . .

Aztec Code . , , .

, , (. 5). -.


1: 2	6	$GF(64)$	$x^6+x+1$
3: 8	8	$GF(256)$	$x^8+x^5+x^3+x^2+1$
9: 22	10	$GF(1024)$	$x^{10}+x^3+1$
23: 32	12	$GF(4096)$	$x^{12}+x^6+x^5+x^3+1$

. 5. -

09. Aztec Code

( | | )

, . . — 9 9 (. 6). Aztec Code.

. 6.

, . — . 1 -> 2 -> 3 -> 4 -> 1 — .

10.

( | | )

. 7.

— (. 7).

, 2 (3 , 2), 6 — (22 , 21).

, , 8 ( 05).

11.

( | | )

. 8. . , 8

( 04), , :

10000101 01110111 10111001 01110110 10110100 10001000 00110110 01100001 00101110 00111010 00001100 01110110 00110110

10010010 01100001 00111100 11110011 11110010 11101010 01010101 11011111 01100100 01010001 10000101 11010110 10000110 01001011 11010001 10010101 10010101

01010001 00100111 00111100 10100000 10101001 01000011 00010010 10000001 11000001 00100110 01000001 10011100 00100010 01000101 10000000 10100000 10101000 00001011 00011010 11010110 01000111

, , 8 .

, , . , 22 .

11100010 01101011 01011000 11010000 00010101 00000101 00000001 10100010 01000100 00111001 10000010 01100100 10000011 10000001 01001000 11000010 10010101 00000101 00111100 11100100 10001010 10101001

5 . :

11100 01001 10101 10101 10001 10100 00000 10101 00000 10100 00000 11010 00100 10001 00001 11001 10000 01001 10010 01000 00111 00000 01010 01000 11000 01010 01010 10000 01010 01111 00111 00100 10001 01010 10100 1

28 09 21 21 17 20 00 21 00 20 00 26 04 17 01 25 16 09 18 08 07 00 10 08 24 10 10 16 10 15 07 04 17 10 20

(ll)https(ps):(ps)/(ps)?cp xohqgf(ps)%hwiioinfcpis

, . #2. ? - 10000000. 7 , 8, . , 0 1?

( ) :

11100010 01101011 01011000 11010000 00010101 00000101 00000001 01000100 10001000 01110011 00000100 11001001 00000111 00000010 10010001 10000101 00101010 00001010 01111001 11001001 00010101 01010011

11100 01001 10101 10101 10001 10100 00000 10101 00000 10100 00000 10100 01001 00010 00011 10011 00000 10011 00100 10000 01110 00000 10100 10001 10000 10100 10101 00000 10100 11110 01110 01001 00010 10101 01001 1

28 09 21 21 17 20 00 21 00 20 00 20 09 02 03 19 00 19 04 16 14 00 20 17 16 20 21 00 20 30 <- Digit , 4

(0111 0010 0100 0101 0101 0100 11)

-> 07 02 04 05 05 04

11 —

, " " :

(ll)https(ps):(ps)/(ps)/habr(ps).com(ps)/post(ps)/(dl)502332

https://habr.com/post/502332

, .

12.

( | | )

Aztec Runes. 1 ( 000 255). Aztec Code, . , . Aztec Rune, XOR 1010 4- . Aztec Code , ( ) .

, ( , , ). , (. 4), ( ).

Aztec Code . Aztec Code , , . 26 .

13.

( | | )

Aztec Code

US5591956A (Google Patents)
ISO/IEC 24778:2008 ( , ISO)

ASCII (Wikipedia)

(GitHub)

14.

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Aztec Code. , , , , Aztec Code . — , .

, step by step:

PDF417
Aztec Code ( )

, , , ( PDF417).

, , - . , .

P.S. , , . "Ctrl / ⌘ + Enter", Ctrl / ⌘, . , . !
P.P.S. , 60 2 . !

分步代码：Aztec代码

目录

01.阿兹台克人代码的历史和使用权利

02.

03.

04.

05.

06.

07.

08.

09. Aztec Code

10.

11.

12.

13.

14.

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