MinT - Information on Result #1011929

Information on Result #1011929

Linear OOA(4¹⁴⁸, 2796238, F₄, 3, 15) (dual of [(2796238, 3), 8388566, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(4¹⁵, 37, F₄, 3, 7) (dual of [(37, 3), 96, 8]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(4⁴, 17, F₄, 3, 3) (dual of [(17, 3), 47, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(4⁴, 17, F₄, 2, 3) (dual of [(17, 2), 30, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4⁴, 17, F₄, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
        ovoid in PG(3,Â 4) [i]
  2. linear OOA(4¹¹, 20, F₄, 3, 7) (dual of [(20, 3), 49, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 11, 20)-net over F₄, using
      - linear code embedding found in a computer search [i]
linear OOA(4¹³³, 2796201, F₄, 3, 15) (dual of [(2796201, 3), 8388470, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4¹³³, large, F₄, 15) (dual of [large, large−133, 16]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

Mode: Constructive and linear.

None.

None.