MinT - Information on Result #1823774

Information on Result #1823774

(90, 112, 5959)-net in base 8, using base change based on digital (62, 84, 5959)-net over F₁₆, using

16¹ times duplication [i] based on digital (61, 83, 5959)-net over F₁₆, using
- net defined by OOA [i] based on linear OOA(16⁸³, 5959, F₁₆, 22, 22) (dual of [(5959, 22), 131015, 23]-NRT-code), using
  - OA 11-folding and stacking [i] based on linear OA(16⁸³, 65549, F₁₆, 22) (dual of [65549, 65466, 23]-code), using
    - discarding factors / shortening the dual code based on linear OA(16⁸³, 65550, F₁₆, 22) (dual of [65550, 65467, 23]-code), using
      - constructionÂ X applied to C_e(21) âŠ‚ C_e(18) [i] based on
        linear OA(16⁸¹, 65536, F₁₆, 22) (dual of [65536, 65455, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 16⁴âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]
        linear OA(16⁶⁹, 65536, F₁₆, 19) (dual of [65536, 65467, 20]-code), using an extension C_e(18) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 16⁴âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]
        linear OA(16², 14, F₁₆, 2) (dual of [14, 12, 3]-code or 14-arc in PG(1,16)), using
        discarding factors / shortening the dual code based on linear OA(16², 16, F₁₆, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
        Reedâ€“Solomon code RS(14,16) [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	(91, 113, 5959)-net in base 8	[i]		Net Duplication
2	(92, 114, 5959)-net in base 8	[i]		Net Duplication