MinT - Information on Result #1191341

Information on Result #1191341

Linear OOA(8⁹¹, 2798253, F₈, 15, 10) (dual of [(2798253, 15), 41973704, 11]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(8⁹¹, 5596507, F₈, 3, 10) (dual of [(5596507, 3), 16789430, 11]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8¹⁷, 4105, F₈, 3, 5) (dual of [(4105, 3), 12298, 6]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(8¹⁷, 4106, F₈, 2, 5) (dual of [(4106, 2), 8195, 6]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(8³, 73, F₈, 2, 2) (dual of [(73, 2), 143, 3]-NRT-code), using
        appending kth column [i] based on linear OA(8³, 73, F₈, 2) (dual of [73, 70, 3]-code), using
        Hamming code H(3,8) [i]
      2. linear OOA(8¹⁴, 4033, F₈, 2, 5) (dual of [(4033, 2), 8052, 6]-NRT-code), using
        OOA 2-folding [i] based on linear OA(8¹⁴, 8066, F₈, 5) (dual of [8066, 8052, 6]-code), using
        trace code [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 6]-code), using
        a code by Danev and Olsson [i]
2. linear OOA(8⁷⁴, 5592402, F₈, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
  - trace code [i] based on linear OOA(64³⁷, 2796201, F₆₄, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(64³⁷, large, F₆₄, 10) (dual of [large, large−37, 11]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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 (81, 91, 2798253)-net over F₈	[i]		Net Defined by OOA