MinT - Information on Result #2178014

Information on Result #2178014

Linear OA(2¹¹⁶, 136, F₂, 50) (dual of [136, 20, 51]-code), using strength reduction based on linear OA(2¹¹⁶, 136, F₂, 51) (dual of [136, 20, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
  - extended Reedâ€“Solomon code RS_e(5,16) [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹¹⁶, 68, F₂, 2, 50) (dual of [(68, 2), 20, 51]-NRT-code)	[i]		OOA Folding