RWY TRANSGRESSION ON TAXI. CAUSES ACFT TO ABORT TKOF.

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WE WERE TAXIING ON TXWY E APCHING SPOT 7 WHERE I CHANGED OVER FROM RAMP CTL FREQ TO SALT LAKE CITY GND CTL. GND INSTRUCTED US TO TAXI TO RWY 34 (VIA PARALLEL TXWY H). AT THIS POINT THE CAPT CALLS FOR FLAPS 20 DEGS; TAXI CHKLIST. SO MY ATTN IS NOW DIVERTED INSIDE THE ACFT AS PER COMPANY SOP. MY TAXI FLOW IS TO SELECT FLAPS 20 DEGS ON THE FLAP LEVER AND WATCH FLAPS TRACKING TO 20 DEGS ON THE PRIMARY EICAS. NEXT; ON THE EICAS CTL PANEL LOCATED ON THE CTR PEDESTAL; I SELECTED THE FLT CTL SYNOPTIC PAGE TO BE DISPLAYED ON THE SECONDARY EICAS. NOW REFING THE FLT CTL DISPLAY ON THE SECONDARY EICAS; I CHKED FULL UNRESTR DEFLECTION L AND R OF THE AILERONS (AND SPOILERONS) AND FULL UNRESTR DEFLECTION FORWARD AND AFT OF THE ELEVATORS. WHEN THE CTL CHK WAS COMPLETED I RETURNED THE DISPLAY ON THE SECONDARY EICAS TO STATUS PAGE; READY TO RUN CHKLIST. NOTE!! SPOT 7 IS APPROX 300 FT FROM TXWY H; SO THE XING OF OUR INTENDED PARALLEL TXWY H ENRTE TO THE ACTIVE RWY 34 VIA TXWY H8 WAS UNNOTICED TO ME DUE TO MY PRE-OCCUPATION WITH COPLT FLOW DUTIES AND CHKLIST AS MENTIONED ABOVE (IN ADDITION TO OPERATING IN NIGHT CONDITIONS). THE XING OF TXWY H HAPPENED SECONDS AFTER LEAVING SPOT 7 WHERE THE CAPT CALLED FOR FLAPS 20 DEGS; TAXI CHKLIST. AFTER I COMPLETED MY TAXI FLOW; I REPOSITIONED THE COPLT'S UTILITY LIGHT ON TO THE TAXI CHKLIST ON THE COPLT'S CHKLIST HOLDER. I BRIEFLY GLANCED OUTSIDE. HOWEVER; BECAUSE WE WERE TAXIING AT NIGHT I WAS NOT LOOKING OUTSIDE LONG ENOUGH TO DIGEST AND COMPREHEND THE SIT. AT NO TIME DID THE CAPT INDICATE HE WAS HAVING PROBS TAXIING; VERBALLY OR PHYSICALLY. WE COMPLETED THE FIRST 2 ITEMS ON THE CHALLENGE AND RESPONSE CHKLIST WHEN I HEARD ON GND FREQ. AN ACR ACFT STATING THAT 'GND; I THINK THE ACFT YOU WANT US TO FOLLOW IS GOING THE WRONG WAY.' AT THAT INSTANCE THE CAPT SAID 'OH SHIT' AND AGGRESSIVELY PUT THE ACFT INTO A TIGHT R TURN. AT THIS TIME I DIVERTED MY FULL ATTN TO OUTSIDE THE ACFT. SINCE IT WAS NIGHT CONDITIONS AND THE ACFT WAS IN AN AGGRESSIVE R TURN WHEN I LIFTED MY HEAD; IT TOOK ME ABOUT 5-6 SECONDS TO GATHER MY FACULTIES. ALSO I BELIEVE GND TOLD US TO TURN R AT THAT TIME. I WAS CONFUSED AND DID NOT RESPOND BACK TO GND. ABOUT 8-10 SECONDS AFTER I DIVERTED MY FULL ATTN OUTSIDE THE ACFT I NOTICED WE WERE ON TXWY H8 POINTED TO THE W. I NEVER POSITIVELY IDENTED BEING ON RWY 34; HOWEVER; BASED ON THE RATE AND DIRECTION THAT WE TURNED I HAVE TO SAY WE WERE PARTLY ON RWY 34 AT SOME TIME. WE THEN CONTINUED WBOUND ON TXWY H8 TO TXWY H FOR RWY 34. WHILE ON TXWY H I ASKED GND FOR OUR TKOF SEQUENCE. THEY PUT US BEHIND A JET THAT WAS CLRING RWY 34 WHO HAD THEIR TKOF CLRNC CANCELED DUE TO US.