MinT - Information on Result #1824249

Information on Result #1824249

(66, 90, 21847)-net in base 32, using base change based on digital (51, 75, 21847)-net over F₆₄, using

net defined by OOA [i] based on linear OOA(64⁷⁵, 21847, F₆₄, 24, 24) (dual of [(21847, 24), 524253, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(64⁷⁵, 262164, F₆₄, 24) (dual of [262164, 262089, 25]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁷⁵, 262167, F₆₄, 24) (dual of [262167, 262092, 25]-code), using
    - constructionÂ X applied to C_e(23) âŠ‚ C_e(17) [i] based on
      1. linear OA(64⁷⁰, 262144, F₆₄, 24) (dual of [262144, 262074, 25]-code), using an extension C_e(23) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 64³âˆ’1, defining interval IÂ =Â [1,23], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]
      2. 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]
      3. linear OA(64⁵, 23, F₆₄, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,64)), using
        discarding factors / shortening the dual code based on linear OA(64⁵, 64, F₆₄, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
        Reedâ€“Solomon code RS(59,64) [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

The following results depend on this result:

	Result		This result only	Method
1	(67, 91, 21847)-net in base 32	[i]		Net Duplication
2	(68, 92, 21847)-net in base 32	[i]		Net Duplication