MinT - Information on Result #3279814

Information on Result #3279814

(49, 67, 29128)-net in base 32, using 32¹ times duplication based on (48, 66, 29128)-net in base 32, using

base change [i] based on digital (37, 55, 29128)-net over F₆₄, using
- 64¹ times duplication [i] based on digital (36, 54, 29128)-net over F₆₄, using
  - net defined by OOA [i] based on linear OOA(64⁵⁴, 29128, F₆₄, 18, 18) (dual of [(29128, 18), 524250, 19]-NRT-code), using
    - OA 9-folding and stacking [i] based on linear OA(64⁵⁴, 262152, F₆₄, 18) (dual of [262152, 262098, 19]-code), using
      - discarding factors / shortening the dual code based on linear OA(64⁵⁴, 262155, F₆₄, 18) (dual of [262155, 262101, 19]-code), using
        constructionÂ X applied to C_e(17) âŠ‚ C_e(14) [i] based on
        linear OA(64⁵², 262144, F₆₄, 18) (dual of [262144, 262092, 19]-code), using an extension C_e(17) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 64³âˆ’1, defining interval IÂ =Â [1,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]
        linear OA(64⁴³, 262144, F₆₄, 15) (dual of [262144, 262101, 16]-code), using an extension C_e(14) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 64³âˆ’1, defining interval IÂ =Â [1,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]
        linear OA(64², 11, F₆₄, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), using
        discarding factors / shortening the dual code based on linear OA(64², 64, F₆₄, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
        Reedâ€“Solomon code RS(62,64) [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.