MinT - Information on Result #3264211

Information on Result #3264211

Digital (84, 109, 10925)-net over F₁₆, using 16² times duplication based on digital (82, 107, 10925)-net over F₁₆, using

net defined by OOA [i] based on linear OOA(16¹⁰⁷, 10925, F₁₆, 25, 25) (dual of [(10925, 25), 273018, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(16¹⁰⁷, 131101, F₁₆, 25) (dual of [131101, 130994, 26]-code), using
  - 1 times code embedding in larger space [i] based on linear OA(16¹⁰⁶, 131100, F₁₆, 25) (dual of [131100, 130994, 26]-code), using
    - trace code [i] based on linear OA(256⁵³, 65550, F₂₅₆, 25) (dual of [65550, 65497, 26]-code), using
      - constructionÂ X applied to C_e(24) âŠ‚ C_e(19) [i] based on
        linear OA(256⁴⁹, 65536, F₂₅₆, 25) (dual of [65536, 65487, 26]-code), using an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [i]
        linear OA(256³⁹, 65536, F₂₅₆, 20) (dual of [65536, 65497, 21]-code), using an extension C_e(19) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [i]
        linear OA(256⁴, 14, F₂₅₆, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,256)), using
        discarding factors / shortening the dual code based on linear OA(256⁴, 256, F₂₅₆, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
        Reedâ€“Solomon code RS(252,256) [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, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.