MinT - Information on Result #3279773

Information on Result #3279773

(39, 55, 8193)-net in base 32, using 32¹ times duplication based on (38, 54, 8193)-net in base 32, using

base change [i] based on (29, 45, 8193)-net in base 64, using
- 64¹ times duplication [i] based on (28, 44, 8193)-net in base 64, using
  - base change [i] based on digital (17, 33, 8193)-net over F₂₅₆, using
    - net defined by OOA [i] based on linear OOA(256³³, 8193, F₂₅₆, 16, 16) (dual of [(8193, 16), 131055, 17]-NRT-code), using
      - OA 8-folding and stacking [i] based on linear OA(256³³, 65544, F₂₅₆, 16) (dual of [65544, 65511, 17]-code), using
        constructionÂ X applied to C_e(15) âŠ‚ C_e(12) [i] based on
        linear OA(256³¹, 65536, F₂₅₆, 16) (dual of [65536, 65505, 17]-code), using an extension C_e(15) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]
        linear OA(256²⁵, 65536, F₂₅₆, 13) (dual of [65536, 65511, 14]-code), using an extension C_e(12) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]
        linear OA(256², 8, F₂₅₆, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
        discarding factors / shortening the dual code based on linear OA(256², 256, F₂₅₆, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
        Reedâ€“Solomon code RS(254,256) [i]

Mode: Constructive.

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.