MinT - Information on Result #1179393

Information on Result #1179393

Linear OOA(3⁶⁸, 2796449, F₃, 6, 6) (dual of [(2796449, 6), 16778626, 7]-NRT-code), using appending kth column based on linear OOA(3⁶⁸, 2796449, F₃, 5, 6) (dual of [(2796449, 5), 13982177, 7]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁸, 248, F₃, 5, 3) (dual of [(248, 5), 1232, 4]-NRT-code), using
  - appending 2 arbitrary columns [i] based on linear OOA(3⁸, 248, F₃, 3, 3) (dual of [(248, 3), 736, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(3⁸, 248, F₃, 2, 3) (dual of [(248, 2), 488, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁸, 248, F₃, 3) (dual of [248, 240, 4]-code or 248-cap in PG(7,3)), using
        large caps in PG(u,Â 3) [i]
2. linear OOA(3⁶⁰, 2796201, F₃, 5, 6) (dual of [(2796201, 5), 13980945, 7]-NRT-code), using
  - OA 3-folding and stacking [i] based on linear OA(3⁶⁰, large, F₃, 6) (dual of [large, large−60, 7]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (62, 68, 2796449)-net over F₃	[i]		Net Defined by OOA