MinT - Information on Result #2704977

Information on Result #2704977

Linear OOA(64²⁷, large, F₆₄, 3, 3), using 64² times duplication based on linear OOA(64²⁵, large, F₆₄, 3, 3), using

6 times NRT-code embedding in larger space [i] based on linear OOA(64⁷, large, F₆₄, 3, 3), using
- appending kth column [i] based on linear OOA(64⁷, large, F₆₄, 2, 3), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(64⁷, large, F₆₄, 3) (dual of [large, large−7, 4]-code), using
    - product of projective cap with 64²-ovoid cap in AG(3,Â 64) [i] based on linear OA(64⁴, 4097, F₆₄, 3) (dual of [4097, 4093, 4]-code or 4097-cap in PG(3,64)), using
      - ovoid in PG(3,Â 64) [i]

Mode: Constructive and linear.

Show details for fixed k and m, k and t, m and t.

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