MinT - Information on Result #1059420

Information on Result #1059420

Linear OOA(3⁸⁹, 2097514, F₃, 4, 8) (dual of [(2097514, 4), 8389967, 9]-NRT-code), using OOA 2-folding based on linear OOA(3⁸⁹, 4195028, F₃, 2, 8) (dual of [(4195028, 2), 8389967, 9]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁸⁹, 4195029, F₃, 2, 8) (dual of [(4195029, 2), 8389969, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹³, 728, F₃, 2, 4) (dual of [(728, 2), 1443, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (9, 13, 728)-net over F₃, using
      - nets constructed from net-embeddable BCH codes [i]
  2. linear OOA(3⁷⁶, 4194301, F₃, 2, 8) (dual of [(4194301, 2), 8388526, 9]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3⁷⁶, 8388602, F₃, 8) (dual of [8388602, 8388526, 9]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁷⁶, large, F₃, 8) (dual of [large, large−76, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.