MinT - Information on Result #2421910

Information on Result #2421910

Linear OOA(2¹⁶⁸, 96, F₂, 2, 76) (dual of [(96, 2), 24, 77]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁸, 96, F₂, 2, 79) (dual of [(96, 2), 24, 80]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8²⁴, 32, F₈, 19) (dual of [32, 8, 20]-code), using
  - a code by Bierbrauer, Marcugini, and Pambianco [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		Method
1	Linear OOA(2¹⁶⁷, 95, F₂, 2, 75) (dual of [(95, 2), 23, 76]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2¹⁶⁶, 95, F₂, 2, 74) (dual of [(95, 2), 24, 75]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2¹⁶⁸, 48, F₂, 4, 76) (dual of [(48, 4), 24, 77]-NRT-code)	[i]	OOA Folding