MinT - Information on Result #2421331

Information on Result #2421331

Linear OOA(2¹⁵⁹, 87, F₂, 2, 82) (dual of [(87, 2), 15, 83]-NRT-code), using strength reduction based on linear OOA(2¹⁵⁹, 87, F₂, 2, 83) (dual of [(87, 2), 15, 84]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8²⁴, 29, F₈, 20) (dual of [29, 5, 21]-code), using
  - 1 times truncation [i] based on linear OA(8²⁵, 30, F₈, 21) (dual of [30, 5, 22]-code), using
    - a quasi-cyclic code by Gulliver and Bhargava [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(2¹⁵⁷, 86, F₂, 2, 80) (dual of [(86, 2), 15, 81]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(2¹⁵⁵, 85, F₂, 2, 78) (dual of [(85, 2), 15, 79]-NRT-code)	[i]		Truncation for OOAs