E : y² + xy = x³ + 12948x + 421776
(Published on 20. February 2025, 11:36 by aqjhs)
I Q2ZA V7IK N6PPFA LCFFCSI1W 21CV7A9 CL KOCTC'K N9CQNVK, V7IK VIQA IV IK VC 6KA OIN7A9 OF6AK, D6V I ZAOIZAZ VC OIN7A9 AHA9EV7I1W.
21Z I 6KAZ V7A AFFINVIO O69HA C1 V7A VIVFA VC ZC KC: S7A1 9AZ6OAZ QCZ6FC XB, V7A I1VAW92F NCI1VK CL V7A O69HA Q24A 2 OEOFIO W9C6N CL C9ZA9 XU 21Z V7AE 29A N6V I1 OC99AKNC1ZA1OA SIV7 ZIWIVK 0 VC R 21Z FAVVA9K 2 VC P I1 V72V C9ZA9. ZIWIVK 21Z FAVVA9K 29A OIN7A9AZ DE Q6FVINFEI1W DE AFAHA1 V7AI9 OC99AKNC1ZI1W NCI1V, V72V IK, 2ZZI1W V7A NCI1V VC IVKAFL AFAHA1 VIQAK.
LC9 A32QNFA: V7A IZA1VIVE AFAQA1V 00 IK Q2NNAZ VC V7A ZIWIV 0 21Z V7A WA1A92VC9 (X0,MU) IK Q2NNAZ VC V7A ZIWIV B. KI1OA V7A IZA1VIVE AFAQA1V 2ZZAZ AFAHA1 VIQAK VC IVKAFL IK KVIFF V7A IZA1VIVE AFAQA1V, V7A ZIWIV 0 IK OIN7A9AZ VC IVKAFL, D6V V7A NCI1V (X0,MU) 2ZZAZ VC IVKAFL AFAHA1 VIQAK Q2E DA 2 ZILLA9A1V NCI1V, 21Z V7A OC99AKNC1ZI1W O7292OVA9 (ZIWIV C9 FAVVA9) IK V7A OIN7A9 LC9 V7A ZIWIV B. A3NFIOIV LC9Q6F2K LC9 NCI1V 2ZZIVIC1 O21 DA ZA9IHAZ, V7AE 29A 1CV 1AAZAZ D6V K69AFE V7AE 29A L61!
C1 V7A W9IZ, OAFFK Q294AZ SIV7 2 OI9OFA 9AN9AKA1V V7A I1VAW92F NCI1VK C1 V7A AFFINVIO O69HA 9AZ6OAZ QCZ6FC BB 21Z V7AE Q24A 2 OEOFIO W9C6N CL C9ZA9 BG. 2 NCI1V (3,E) OC99AKNC1ZK VC V7A OAFF I1 9CS 3 21Z OCF6Q1 E, LC9 V7IK ALLAOV V7A 9CSK 21Z OCF6Q1K 29A 0-I1ZA3AZ.
V7A V2WK K7CS V7A KAY6A1OA I1 S7IO7 V7AE 2NNA29 SIV7 9AKNAOV VC V7A WA1A92VC9 N = (X,G), KC V7A NCI1V N IK V2WWAZ 2K 0B, 21Z V7A NCI1V N+N IK V2WWAZ 0M, 21Z KC C1... V7A IZA1VIVE AFAQA1V (V7A NCI1V 00), 2K 6K62F, IK 1CV N29V CL V7A W9IZ KI1OA IV OC99AKNC1ZK VC V7A "NCI1V 2V I1LI1IVE".
C4, VIQA LC9 V7A 96FAK:
- NF2OA 1I1A 1C1-CHA9F2NNI1W X3X 9AWIC1K C1 V7A W9IZ 21Z NF2OA V7A ZIWIVK B-R I1 V7AQ KC V72V V7AE ZC1'V 9ANA2V I1 9CSK, OCF6Q1K 21Z 9AWIC1K. OAFFK C6VKIZA 9AWIC1K ZC 1CV OC1V2I1 21E ZIWIV 21Z 72HA 2 H2F6A CL 0 LC9 ALLAOV CL O2WA K6QK. OAFFK Q294AZ SIV7 2 OI9OFA Q6KV DA I1KIZA 2 9AWIC1 (A3OANV V7A NCI1V 2V I1LI1IVE S7IO7 IK 1CV AHA1 I1 2 OAFF).
- ZIWIVK Q2E 1CV 9ANA2V I1KIZA O2WAK. O2WAK V72V OC1V2I1 2 OI9OFAZ OAFF Q6KV 2ZZ VC V7A 16QDA9 C1 IVK V2W. 2FF O2WAK SIV7C6V 2 OI9OFAZ OAFF 2ZZ VC V7A K2QA VCV2F.
- 21 I1AY62FIVE KIW1 DAVSAA1 OAFFK NCI1VK VC V7A OAFF SIV7 V7A FCSAKV ZIWIV.
Solution code: ZIWIVK I1 9AWIC1K LC9 9CS 0 21Z OCF6Q1 0.
Comments
on 21. February 2025, 09:17 by Nylimb
I'Q 1CV K69A S72V WLCCV QA21K 2DC6V 1CV 1AAZI1W OCQNFA3 Q2V7: 2FV7C6W7 V7A 2FN72DAVIO N29V CL V7A OIN7A9 IK A2KE VC O92O4, WAVVI1W V7A O2WA VCV2FK KAAQK VC 9AY6I9A WA1A92VI1W V7A Q6FVINFIO2VIC1 V2DFA LC9 AIV7A9 V7A QCZ BB C9 QCZ XB W9C6N. 21ES2E, V7214K LC9 V7A O72FFA1WA!
on 21. February 2025, 05:33 by bansalsaab
N7AS!!
on 21. February 2025, 04:17 by NEWS
V7214K LC9 V7A 729Z SC94, 2YT7K! IV VCC4 QA 72FL 2 Z2E VC L6FFE 61ZA9KV21Z S72V IV IK 2FF 2DC6V 21Z AHA1V62FFE KCFHA V7A N6PPFA.
on 21. February 2025, 01:18 by ralphwaldo1
1AAZK 2 LA2V69A C1 O92O4I1W V7A AFFINVIO
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literally, lol
on 21. February 2025, 00:29 by brewring
Reading the cipher, I thought we would have to generate the positions where circled cells would go. But thankfully this was much simpler. Deciphering was the easy part but I was not very familiar with the ZAOC1KV96OVIC1 V9IO4K and took a while to resolve the sudoku. Way past my sleep time but couldn't resist after reading the rules
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I was tempted not to give the points but the generator... maybe next time (:
on 20. February 2025, 20:31 by aqjhs
W92QQ29 OC99AOVIC1 C1 96FAK
on 20. February 2025, 20:09 by gfoot
Thanks for the puzzle, contrary to some other comments it doesn't require complex maths - note that the main rules are below the puzzle image - but there is some L2I9FE V9IO4E ZAOC1KV96OVIC1 FCWIO!
And EC6 LC9WCV VC A1O9ENV V7A K6ZC46N2Z FI14 ;)
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glad you liked it! :D
on 20. February 2025, 17:51 by Kversten
I brute-forced decoding the letters and numbers for the rules. I begin to somewhat understand it after reading about curves and groups now. But I'm still confused on what numbers are in the cyclic group that goes in the circles. From what I understand about how to solve it - it's probably a really fun and enjoyable puzzle, but still - rules are probably a little to vague and complicated for me to wrap my head around it.
on 20. February 2025, 15:36 by NEWS
Yeah. This is about Abstract Algebra. I have been figuring out what it is all about for hours.
on 20. February 2025, 14:06 by slowbiex
i managed to decode the text and rules but it turns out i still don't understand the puzzle. Oh well...
