MinT - Information on Result #2505973

Information on Result #2505973

Linear OOA(7⁴⁹, large, F₇, 2, 3), using 7¹ times duplication based on linear OOA(7⁴⁸, large, F₇, 2, 3), using

17 times NRT-code embedding in larger space [i] based on linear OOA(7¹⁴, large, F₇, 2, 3), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7¹⁴, large, F₇, 3) (dual of [large, large−14, 4]-code), using
  - doubling the cap [i] based on linear OA(7¹³, 6120101, F₇, 3) (dual of [6120101, 6120088, 4]-code or 6120101-cap in PG(12,7)), using
    - product of projective cap with cap in AG(6,Â 7) [i] based on linear OA(7⁷, 2499, F₇, 3) (dual of [2499, 2492, 4]-code or 2499-cap in PG(6,7)), using
      - product of two caps with tangent hyperplane [i]

Mode: Constructive and linear.

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

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