MinT - Information on Result #1192456

Information on Result #1192456

Digital (72, 94, 747)-net over F₈, using net defined by OOA based on linear OOA(8⁹⁴, 747, F₈, 22, 22) (dual of [(747, 22), 16340, 23]-NRT-code), using

OA 11-folding and stacking [i] based on linear OA(8⁹⁴, 8217, F₈, 22) (dual of [8217, 8123, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(8⁹⁴, 8220, F₈, 22) (dual of [8220, 8126, 23]-code), using
  - trace code [i] based on linear OA(64⁴⁷, 4110, F₆₄, 22) (dual of [4110, 4063, 23]-code), using
    - constructionÂ X applied to C_e(21) âŠ‚ C_e(16) [i] based on
      1. linear OA(64⁴³, 4096, F₆₄, 22) (dual of [4096, 4053, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 4095Â = 64²âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]
      2. linear OA(64³³, 4096, F₆₄, 17) (dual of [4096, 4063, 18]-code), using an extension C_e(16) of the primitive narrow-sense BCH-code C(I) with length 4095Â = 64²âˆ’1, defining interval IÂ =Â [1,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [i]
      3. linear OA(64⁴, 14, F₆₄, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,64)), using
        discarding factors / shortening the dual code based on linear OA(64⁴, 64, F₆₄, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
        Reedâ€“Solomon code RS(60,64) [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

The following results depend on this result:

	Result		This result only	Method
1	Digital (73, 95, 747)-net over F₈	[i]		Net Duplication