MinT - Information on Result #2613539

Information on Result #2613539

Linear OOA(2¹⁵⁶, 54, F₂, 3, 109) (dual of [(54, 3), 6, 110]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁶, 54, F₂, 3, 111) (dual of [(54, 3), 6, 112]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8¹⁶, 18, F₈, 15) (dual of [18, 2, 16]-code), using
  - repeating each code word 2 times [i] based on linear OA(8⁷, 9, F₈, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
    - extended Reedâ€“Solomon code RS_e(2,8) [i]
    - Simplex code S(2,8) [i]
2. linear OOA(2⁶, 3, F₂, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;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(2¹⁵⁶, 27, F₂, 6, 109) (dual of [(27, 6), 6, 110]-NRT-code)	[i]		OOA Folding