MinT - Information on Result #1747981

Information on Result #1747981

Linear OOA(128⁶⁶, 1454, F₁₂₈, 36, 31) (dual of [(1454, 36), 52278, 32]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(128⁶⁶, 5817, F₁₂₈, 4, 31) (dual of [(5817, 4), 23202, 32]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(128⁶⁶, 5817, F₁₂₈, 2, 31) (dual of [(5817, 2), 11568, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(128⁶⁶, 8201, F₁₂₈, 2, 31) (dual of [(8201, 2), 16336, 32]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(128⁶⁶, 16402, F₁₂₈, 31) (dual of [16402, 16336, 32]-code), using
    - constructionÂ X applied to C([0,15]) âŠ‚ C([0,12]) [i] based on
      1. linear OA(128⁶¹, 16385, F₁₂₈, 31) (dual of [16385, 16324, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385Â | 128⁴âˆ’1, defining interval IÂ =Â [0,15], and minimum distance dÂ â‰¥ |{−15,−14,…,15}|+1Â =Â 32 (BCH-bound) [i]
      2. linear OA(128⁴⁹, 16385, F₁₂₈, 25) (dual of [16385, 16336, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385Â | 128⁴âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [i]
      3. linear OA(128⁵, 17, F₁₂₈, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,128)), using
        discarding factors / shortening the dual code based on linear OA(128⁵, 128, F₁₂₈, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
        Reedâ€“Solomon code RS(123,128) [i]

Mode: 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 (35, 66, 1454)-net over F₁₂₈	[i]		Net Defined by OOA