MinT - Information on Result #1021573

Information on Result #1021573

Linear OOA(5²⁷, 60, F₅, 3, 11) (dual of [(60, 3), 153, 12]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(5⁴, 20, F₅, 3, 3) (dual of [(20, 3), 56, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5⁴, 25, F₅, 3, 3) (dual of [(25, 3), 71, 4]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OA(5⁴, 26, F₅, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
    - ovoid in PG(3,Â 5) [i]
linear OOA(5⁷, 20, F₅, 3, 5) (dual of [(20, 3), 53, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(5⁷, 21, F₅, 2, 5) (dual of [(21, 2), 35, 6]-NRT-code), using
  - extracting embedded OOA [i] based on digital (2, 7, 21)-net over F₅, using
    - linear code embedding found in a computer search [i]
linear OOA(5¹⁶, 20, F₅, 3, 11) (dual of [(20, 3), 44, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,48P) [i] based on function field F/F₅ with g(F) = 5 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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