MinT - Information on Result #1841976

Information on Result #1841976

OOA(128⁴⁶, 8256, S₁₂₈, 20, 17), using OOA 2-folding and stacking with additional row based on OOA(128⁴⁶, 16513, S₁₂₈, 4, 17), using

(u,Â u+v)-construction [i] based on
1. linear OOA(128⁸, 129, F₁₂₈, 4, 8) (dual of [(129, 4), 508, 9]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;508,128) [i]
2. OOA(128³⁸, 16384, S₁₂₈, 4, 17), using
  - OOA 4-folding [i] based on OA(128³⁸, 65536, S₁₂₈, 17), using
    - discarding factors based on OA(128³⁸, 65538, S₁₂₈, 17), using
      - discarding parts of the base [i] based on linear OA(256³³, 65538, F₂₅₆, 17) (dual of [65538, 65505, 18]-code), using
        constructionÂ X applied to C_e(16) âŠ‚ C_e(15) [i] based on
        linear OA(256³³, 65536, F₂₅₆, 17) (dual of [65536, 65503, 18]-code), using an extension C_e(16) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [i]
        linear OA(256³¹, 65536, F₂₅₆, 16) (dual of [65536, 65505, 17]-code), using an extension C_e(15) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]
        linear OA(256⁰, 2, F₂₅₆, 0) (dual of [2, 2, 1]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁰, s, F₂₅₆, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
        OA with only one run / dual of code without redundancy [i]

Mode: Constructive.

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	(29, 46, 8256)-net in base 128	[i]		Net Defined by OOA