MinT - Information on Result #1849479

Information on Result #1849479

OOA(64⁴⁵, 524289, S₆₄, 15, 13), using OOA 2-folding and stacking with additional row based on OOA(64⁴⁵, 1048579, S₆₄, 3, 13), using

discarding factors based on OOA(64⁴⁵, 1048580, S₆₄, 3, 13), using
- discarding parts of the base [i] based on linear OOA(128³⁸, 1048580, F₁₂₈, 3, 13) (dual of [(1048580, 3), 3145702, 14]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(128³⁸, 1048580, F₁₂₈, 2, 13) (dual of [(1048580, 2), 2097122, 14]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(128³⁸, 2097160, F₁₂₈, 13) (dual of [2097160, 2097122, 14]-code), using
      - constructionÂ X applied to C([0,6]) âŠ‚ C([0,5]) [i] based on
        linear OA(128³⁷, 2097153, F₁₂₈, 13) (dual of [2097153, 2097116, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153Â | 128⁶âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]
        linear OA(128³¹, 2097153, F₁₂₈, 11) (dual of [2097153, 2097122, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153Â | 128⁶âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [i]
        linear OA(128¹, 7, F₁₂₈, 1) (dual of [7, 6, 2]-code), using
        discarding factors / shortening the dual code based on linear OA(128¹, s, F₁₂₈, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]

Mode: Arbitrary.

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	(32, 45, 524289)-net in base 64	[i]		Net Defined by OOA