MinT - Information on Result #2706033

Information on Result #2706033

Linear OOA(128⁵⁸, large, F₁₂₈, 3, 3), using 17 times NRT-code embedding in larger space based on linear OOA(128⁷, large, F₁₂₈, 3, 3), using

appending kth column [i] based on linear OOA(128⁷, large, F₁₂₈, 2, 3), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(128⁷, large, F₁₂₈, 3) (dual of [large, large−7, 4]-code), using
  - product of projective cap with 128²-ovoid cap in AG(3,Â 128) [i] based on linear OA(128⁴, 16385, F₁₂₈, 3) (dual of [16385, 16381, 4]-code or 16385-cap in PG(3,128)), using
    - ovoid in PG(3,Â 128) [i]

Mode: Constructive and linear.

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

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