MinT - Information on Result #672036

Information on Result #672036

Linear OA(64³², 4226, F₆₄, 12) (dual of [4226, 4194, 13]-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(64²³, 4096, F₆₄, 12) (dual of [4096, 4073, 13]-code), using
- an extension C_e(11) of the primitive narrow-sense BCH-code C(I) with length 4095Â = 64²âˆ’1, defining interval IÂ =Â [1,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive and linear.

None.

None.