MinT - Information on Result #812067

Information on Result #812067

Linear OOA(2²⁵², 139, F₂, 2, 105) (dual of [(139, 2), 26, 106]-NRT-code), using OOA 2-folding based on linear OA(2²⁵², 278, F₂, 105) (dual of [278, 26, 106]-code), using

constructionÂ X applied to C₂ âŠ‚ C₁ [i] based on
1. linear OA(2²³⁵, 255, F₂, 111) (dual of [255, 20, 112]-code), using code C₂ for uÂ =Â 8 by de Boer and Brouwer [i]
2. linear OA(2²²⁷, 255, F₂, 95) (dual of [255, 28, 96]-code), using code C₁ for uÂ =Â 8 by de Boer and Brouwer [i]
3. linear OA(2¹⁷, 23, F₂, 9) (dual of [23, 6, 10]-code), using
  - constructionÂ X applied to C₂ âŠ‚ C₁ [i] based on
    1. linear OA(2¹³, 15, F₂, 9) (dual of [15, 2, 10]-code), using code C₂ for uÂ =Â 4 by de Boer and Brouwer [i]
    2. linear OA(2⁹, 15, F₂, 5) (dual of [15, 6, 6]-code), using code C₁ for uÂ =Â 4 by de Boer and Brouwer [i]
    3. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
      - Reedâ€“Muller code RM(1,3) [i]
      - caps in base bÂ =Â 2 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.