| Presentation | 1999/10/25 A Note on CC(6) and (MOD3-MOD2) Circuits Kazuyuki Amano, Akira Maruoka, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this note, we investigate the complexity of circuits with modulo gates only in two ways. (i) We describe a procedure that converts a circuit with only modulo 2p gates, where p is a prime number, into a depth two circuit with modulo 2 gates at the input level and a modulo p gate at the output. (ii) We show some properties of such depth two circuits computing symmetric functions. Thus if we can show that, for any linear size constant depth modulo 6 circuit C, a circuit obtained from C by the procedure described in (i) can not satisfy the properties described in (ii), then we could have a superlinear lower bound on the size of a constant depth modulo 6 circuit computing some symmetric functions. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | circuit complexity / modulo gate / constant depth circuit / symmetric function / lower bound |
| Paper # | COMP99-48 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 1999/10/25(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Note on CC(6) and (MOD3-MOD2) Circuits |
| Sub Title (in English) | |
| Keyword(1) | circuit complexity |
| Keyword(2) | modulo gate |
| Keyword(3) | constant depth circuit |
| Keyword(4) | symmetric function |
| Keyword(5) | lower bound |
| 1st Author's Name | Kazuyuki Amano |
| 1st Author's Affiliation | GSIS, Tohoku University() |
| 2nd Author's Name | Akira Maruoka |
| 2nd Author's Affiliation | GSIS, Tohoku University |
| Date | 1999/10/25 |
| Paper # | COMP99-48 |
| Volume (vol) | vol.99 |
| Number (no) | 388 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |