MinT - Information on Result #672035

Information on Result #672035

Linear OA(64⁴⁶, 262275, F₆₄, 13) (dual of [262275, 262229, 14]-code), using (u,Â u+v)-construction based on

linear OA(64⁹, 130, F₆₄, 6) (dual of [130, 121, 7]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(64³, 65, F₆₄, 3) (dual of [65, 62, 4]-code or 65-arc in PG(2,64) or 65-cap in PG(2,64)), using
    - extended Reedâ€“Solomon code RS_e(62,64) [i]
  2. linear OA(64⁶, 65, F₆₄, 6) (dual of [65, 59, 7]-code or 65-arc in PG(5,64)), using
    - extended Reedâ€“Solomon code RS_e(59,64) [i]
linear OA(64³⁷, 262145, F₆₄, 13) (dual of [262145, 262108, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145Â | 64⁶âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(64⁴⁶, 87425, F₆₄, 3, 13) (dual of [(87425, 3), 262229, 14]-NRT-code)	[i]		OOA Folding