MinT - Information on Result #2422673

Information on Result #2422673

Linear OOA(2¹⁷⁹, 94, F₂, 2, 102) (dual of [(94, 2), 9, 103]-NRT-code), using strength reduction based on linear OOA(2¹⁷⁹, 94, F₂, 2, 103) (dual of [(94, 2), 9, 104]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹¹, 10, F₂, 2, 7) (dual of [(10, 2), 9, 8]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2¹¹, 11, F₂, 2, 7) (dual of [(11, 2), 11, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 11, 11)-net over F₂, using
      - a shift-net [i]
2. linear OOA(2¹⁵⁹, 84, F₂, 2, 95) (dual of [(84, 2), 9, 96]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(8²⁵, 28, F₈, 23) (dual of [28, 3, 24]-code), using
      - Denniston code D(2,8) [i]
    2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁷⁹, 47, F₂, 4, 102) (dual of [(47, 4), 9, 103]-NRT-code)	[i]		OOA Folding