{"id":928,"date":"2023-06-13T07:55:54","date_gmt":"2023-06-13T05:55:54","guid":{"rendered":"https:\/\/www.jankafialka.sk\/?p=928"},"modified":"2023-08-04T22:42:51","modified_gmt":"2023-08-04T20:42:51","slug":"ako-desifrovat-spravu","status":"publish","type":"post","link":"https:\/\/www.jankafialka.sk\/?p=928","title":{"rendered":"Ako de\u0161ifrova\u0165 spr\u00e1vu?"},"content":{"rendered":"\n

Na str\u00e1nke \u0161ifry<\/a> ukazujem, ako mo\u017eno vyu\u017ei\u0165 C\u00e9zarovu a Vigen\u00e8rovu \u0161ifru na \u0161ifrovanie spr\u00e1v. Tu idem pribl\u00ed\u017ei\u0165, ako sa d\u00e1 tento druh \u0161ifier prelomi\u0165. \u010ci\u017ee roz\u0161ifrova\u0165 spr\u00e1vu bez znalosti k\u013e\u00fa\u010da. U C\u00e9zarovej \u0161ifry je to \u00faplne jednoduch\u00e9, ako som u\u017e p\u00edsala na spom\u00ednanej str\u00e1nke. Sta\u010d\u00ed vysk\u00fa\u0161a\u0165 v\u0161etk\u00fdch 25 mo\u017en\u00fdch k\u013e\u00fa\u010dov (\u010d\u00edsel). Teraz uk\u00e1\u017eem, \u017ee sa to d\u00e1 e\u0161te jednoduch\u0161ie. A to pomocou frekven\u010dnej anal\u00fdzy.<\/p>\n\n\n\n

Frekven\u010dn\u00e1 anal\u00fdza<\/h2>\n\n\n\n

Hrali ste u\u017e niekedy obesenca? Mo\u017eno ste to volali inak. Pointa tejto hry spo\u010d\u00edva v tom, \u017ee h\u00e1date p\u00edsmen\u00e1, ktor\u00e9 obsahuje ukryt\u00e9 slovn\u00e9 spojenie. Ke\u010f neuh\u00e1dnete, dokresl\u00ed sa na \u0161ibenicu jedna \u010das\u0165 pan\u00e1\u010dika. Aj najmen\u0161ie deti r\u00fdchlo zistia, ktor\u00e9 p\u00edsmen\u00e1 sa oplat\u00ed tipova\u0165. Vieme toti\u017e, \u017ee ka\u017ed\u00e9 p\u00edsmeno sa vyskytuje s inou frekvenciou – inak \u010dasto. Medzi naj\u010dastej\u0161ie sa vyskytuj\u00face p\u00edsmen\u00e1 m\u00f4\u017eeme ur\u010dite zaradi\u0165 samohl\u00e1sky A, E, O. <\/p>\n\n\n\n

Substitu\u010dn\u00e9 \u0161ifry<\/h2>\n\n\n\n

C\u00e9zarova \u0161ifra je najjednoduch\u0161\u00ed typ substitu\u010dnej \u0161ifry. Existuje e\u0161te cel\u00e1 mno\u017eina \u0161ifier, pri ktor\u00fdch nahr\u00e1dzame p\u00edsmen\u00e1 in\u00fdmi p\u00edsmenami pod\u013ea r\u00f4znych pravidiel. Tak\u00e9to \u0161ifry m\u00e1vaj\u00fa obvykle vytvoren\u00fa tabu\u013eku p\u00edsmen a ich n\u00e1hrad, aby bolo \u0161ifrovanie a de\u0161ifrovanie \u013eah\u0161ie realizovate\u013en\u00e9. T\u00fato tabu\u013eku maj\u00fa ukryt\u00fa obaja – pisate\u013e spr\u00e1vy aj jej adres\u00e1t. Roz\u0161ifrova\u0165 takto za\u0161ifrovan\u00fa spr\u00e1vu bez tabu\u013eky je prakticky nemo\u017en\u00e9 sp\u00f4sobom tipovania. Mo\u017enost\u00ed je pr\u00edli\u0161 ve\u013ea. (26! – to je 26 faktori\u00e1l.)<\/p>\n\n\n\n

\"\"
Ilustr\u00e1cia na t\u00e9mu abeceda<\/figcaption><\/figure>\n\n\n\n

Ka\u017ed\u00e1 substitu\u010dn\u00e1 \u0161ifra (\u0161ifra, kde je to ist\u00e9 p\u00edsmeno vymenen\u00e9 v\u017edy za ten ist\u00fd znak) sa d\u00e1 ale ve\u013emi \u013eahko roz\u0161ifrova\u0165 pomocou frekven\u010dnej anal\u00fdzy. Samozrejme, aby to fungovalo, mus\u00ed by\u0165 toho za\u0161ifrovan\u00e9ho textu \u010do najviac. Kr\u00e1tke spr\u00e1vy m\u00f4\u017eu ma\u0165 celkom in\u00fa frekvenciu p\u00edsmen ako je be\u017en\u00e9 v danom jazyku.<\/p>\n\n\n\n

Ako to funguje? Pozrieme sa na za\u0161ifrovan\u00fa spr\u00e1vu. Spo\u010d\u00edtame frekvencie v\u0161etk\u00fdch p\u00edsmen, zorad\u00edme ich od naj\u010dastej\u0161ieho po najmenej \u010dast\u00e9 a sk\u00fasime priradi\u0165 p\u00edsmen\u00e1 tak, aby to zodpovedalo frekvenci\u00e1m be\u017en\u00fdm v danom jazyku.<\/p>\n\n\n\n

Vigen\u00e8rova \u0161ifra<\/h2>\n\n\n\n

Vigen\u00e8rova \u0161ifra na prv\u00fd poh\u013ead znemo\u017e\u0148uje pou\u017eitie frekven\u010dnej anal\u00fdzy. Rovnak\u00e9 p\u00edsmen\u00e1 s\u00fa \u010dasto za\u0161ifrovan\u00e9 do r\u00f4znych a naopak aj p\u00f4vodne r\u00f4zne p\u00edsmen\u00e1 m\u00f4\u017eu by\u0165 za\u0161ifrovan\u00e9 do rovnak\u00e9ho p\u00edsmena. Ke\u010f\u017ee ale vieme, ako Vigen\u00e8rova \u0161ifra funguje a \u010dasto pou\u017e\u00edvame pomerne kr\u00e1tky k\u013e\u00fa\u010d, nie je zlomenie \u0161ifry \u00faplne nemo\u017en\u00e9. Len budeme potrebova\u0165 viac \u010dasu a trpezlivosti. <\/p>\n\n\n\n

Predstavme si, \u017ee m\u00e1me nieko\u013eko str\u00e1n za\u0161ifrovan\u00e9ho textu. Sk\u00fasime frekven\u010dn\u00fa anal\u00fdzu cel\u00e9ho textu, aby sme sa presved\u010dili, \u017ee nebola pou\u017eit\u00e1 oby\u010dajn\u00e1 substitu\u010dn\u00e1 \u0161ifra. Nevyjde to. Povieme si, \u010do ak bol pou\u017eit\u00fd k\u013e\u00fa\u010d tvoren\u00fd len dvoma p\u00edsmenami? Rozdel\u00edme teda cel\u00fd text na p\u00edsmen\u00e1 p\u00e1rne a nep\u00e1rne a na obe skupiny pou\u017eijeme frekven\u010dn\u00fa anal\u00fdzu. Ak to nevyjde, sk\u00fasime trojp\u00edsmenkov\u00fd k\u013e\u00fa\u010d. Rozdel\u00edme text do troch skup\u00edn a na ka\u017ed\u00fa pou\u017eijeme frekven\u010dn\u00fa anal\u00fdzu. Takto budeme pokra\u010dova\u0165, a\u017e k\u00fdm sa nepodar\u00ed spr\u00e1vu roz\u0161ifrova\u0165. <\/p>\n\n\n\n

Je celkom zrejm\u00e9, \u017ee toto m\u00f4\u017ee fungova\u0165 iba v pr\u00edpade, \u017ee za\u0161ifrovan\u00e9ho textu m\u00e1me pomerne ve\u013ea v porovnan\u00ed s ve\u013ekos\u0165ou k\u013e\u00fa\u010da. Preto som na horeuvedenej str\u00e1nke p\u00edsala o tom, \u017ee \u0161ifrovanie je takmer neprelomite\u013en\u00e9, ak posielame spr\u00e1vu ve\u013ekosti jednej vety.<\/p>\n","protected":false},"excerpt":{"rendered":"

Na str\u00e1nke \u0161ifry ukazujem, ako mo\u017eno vyu\u017ei\u0165 C\u00e9zarovu a Vigen\u00e8rovu \u0161ifru na \u0161ifrovanie spr\u00e1v. Tu idem pribl\u00ed\u017ei\u0165, ako sa d\u00e1 tento druh \u0161ifier prelomi\u0165. \u010ci\u017ee roz\u0161ifrova\u0165 spr\u00e1vu bez znalosti k\u013e\u00fa\u010da. U C\u00e9zarovej \u0161ifry je to \u00faplne jednoduch\u00e9, ako som u\u017e p\u00edsala na spom\u00ednanej str\u00e1nke. Sta\u010d\u00ed vysk\u00fa\u0161a\u0165 v\u0161etk\u00fdch 25 mo\u017en\u00fdch k\u013e\u00fa\u010dov (\u010d\u00edsel). Teraz uk\u00e1\u017eem, \u017ee sa […]<\/p>\n","protected":false},"author":1,"featured_media":1950,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-928","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-nezaradene"],"yoast_head":"\nAko de\u0161ifrova\u0165 spr\u00e1vu<\/title>\n<meta name=\"description\" content=\"Na stranke vysvet\u013eujem, ako de\u0161ifrova\u0165 spr\u00e1vu s pou\u017eit\u00edm frekven\u010dnej anal\u00fdzy. 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