MinT - Information on Result #2425589

Information on Result #2425589

Linear OOA(2²¹⁶, 128, F₂, 2, 90) (dual of [(128, 2), 40, 91]-NRT-code), using strength reduction based on linear OOA(2²¹⁶, 128, F₂, 2, 91) (dual of [(128, 2), 40, 92]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16²², 16, F₁₆, 2, 22) (dual of [(16, 2), 10, 23]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;10,16) [i]
2. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
  - Reedâ€“Muller code RM(1,3) [i]
  - caps in base bÂ =Â 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(2²¹⁶, 64, F₂, 4, 90) (dual of [(64, 4), 40, 91]-NRT-code)	[i]		OOA Folding