MinT - Information on Result #1098737

Information on Result #1098737

Linear OOA(2¹²⁴, 27, F₂, 5, 59) (dual of [(27, 5), 11, 60]-NRT-code), using OOA 5-folding based on linear OA(2¹²⁴, 135, F₂, 59) (dual of [135, 11, 60]-code), using

constructionÂ X applied to C₃ âŠ‚ C₂ [i] based on
1. linear OA(2¹²⁰, 127, F₂, 63) (dual of [127, 7, 64]-code), using code C₃ for uÂ =Â 7 by de Boer and Brouwer [i]
2. linear OA(2¹¹³, 127, F₂, 55) (dual of [127, 14, 56]-code), using code C₂ for uÂ =Â 7 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.