MinT - Information on Result #1095432

Information on Result #1095432

Linear OOA(2²⁴¹, 2796214, F₂, 5, 14) (dual of [(2796214, 5), 13980829, 15]-NRT-code), using OOA 2-folding based on linear OOA(2²⁴¹, 5592428, F₂, 3, 14) (dual of [(5592428, 3), 16777043, 15]-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(2¹⁷³, 2796214, F₂, 3, 14) (dual of [(2796214, 3), 8388469, 15]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹², 13, F₂, 3, 7) (dual of [(13, 3), 27, 8]-NRT-code), using
      - extracting embedded OOA [i] based on digital (5, 12, 13)-net over F₂, using
        linear code embedding found in a computer search [i]
    2. linear OOA(2¹⁶¹, 2796201, F₂, 3, 14) (dual of [(2796201, 3), 8388442, 15]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(2¹⁶¹, large, F₂, 14) (dual of [large, large−161, 15]-code), using
        the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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.