MinT - Information on Result #1204843

Information on Result #1204843

Linear OOA(256⁵⁶, 6811, F₂₅₆, 25, 20) (dual of [(6811, 25), 170219, 21]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(256⁵⁶, 13623, F₂₅₆, 5, 20) (dual of [(13623, 5), 68059, 21]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹⁷, 516, F₂₅₆, 5, 10) (dual of [(516, 5), 2563, 11]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256⁶, 258, F₂₅₆, 5, 5) (dual of [(258, 5), 1284, 6]-NRT-code), using
      - appending kth column [i] based on linear OOA(256⁶, 258, F₂₅₆, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
        extracting embedded OOA [i] based on digital (1, 6, 258)-net over F₂₅₆, using
        net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
    2. linear OOA(256¹¹, 258, F₂₅₆, 5, 10) (dual of [(258, 5), 1279, 11]-NRT-code), using
      - extracting embedded OOA [i] based on digital (1, 11, 258)-net over F₂₅₆, using
        net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆ (see above)
2. linear OOA(256³⁹, 13107, F₂₅₆, 5, 20) (dual of [(13107, 5), 65496, 21]-NRT-code), using
  - OOA 5-folding [i] based on linear OA(256³⁹, 65535, F₂₅₆, 20) (dual of [65535, 65496, 21]-code), using
    - discarding factors / shortening the dual code based on linear OA(256³⁹, 65536, F₂₅₆, 20) (dual of [65536, 65497, 21]-code), using
      - an extension C_e(19) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [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 (36, 56, 6811)-net over F₂₅₆	[i]		Net Defined by OOA