MinT - Information on Result #1182079

Information on Result #1182079

Linear OOA(2¹⁷², 2982, F₂, 22, 22) (dual of [(2982, 22), 65432, 23]-NRT-code), using OA 11-folding and stacking based on linear OA(2¹⁷², 32802, F₂, 22) (dual of [32802, 32630, 23]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁷², 32804, F₂, 22) (dual of [32804, 32632, 23]-code), using
- 1 times truncation [i] based on linear OA(2¹⁷³, 32805, F₂, 23) (dual of [32805, 32632, 24]-code), using
  - constructionÂ X applied to C_e(22) âŠ‚ C_e(18) [i] based on
    1. linear OA(2¹⁶⁶, 32768, F₂, 23) (dual of [32768, 32602, 24]-code), using an extension C_e(22) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 2¹⁵âˆ’1, defining interval IÂ =Â [1,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]
    2. linear OA(2¹³⁶, 32768, F₂, 19) (dual of [32768, 32632, 20]-code), using an extension C_e(18) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 2¹⁵âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [i]
    3. linear OA(2⁷, 37, F₂, 3) (dual of [37, 30, 4]-code or 37-cap in PG(6,2)), using
      - discarding factors / shortening the dual code based on linear OA(2⁷, 63, F₂, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 63Â = 2⁶âˆ’1, defining interval IÂ =Â [0,1], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 4 [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (150, 172, 2982)-net over F₂	[i]		Net Defined by OOA