MinT - Information on Result #1095539

Information on Result #1095539

Linear OOA(2²⁴⁶, 2796229, F₂, 5, 15) (dual of [(2796229, 5), 13980899, 16]-NRT-code), using OOA 2-folding based on linear OOA(2²⁴⁶, 5592458, F₂, 3, 15) (dual of [(5592458, 3), 16777128, 16]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁶⁸, 4194303, F₂, 3, 7) (dual of [(4194303, 3), 12582841, 8]-NRT-code), using
  - OOAs constructed from BCH codes [i]
2. linear OOA(2¹⁷⁸, 2796229, F₂, 3, 15) (dual of [(2796229, 3), 8388509, 16]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹⁶, 28, F₂, 3, 7) (dual of [(28, 3), 68, 8]-NRT-code), using
      - extracting embedded OOA [i] based on digital (9, 16, 28)-net over F₂, using
        linear code embedding found in a computer search [i]
    2. linear OOA(2¹⁶², 2796201, F₂, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(2¹⁶², large, F₂, 15) (dual of [large, large−162, 16]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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.