MinT - Information on Result #2420282

Information on Result #2420282

Linear OOA(2¹⁴¹, 75, F₂, 2, 82) (dual of [(75, 2), 9, 83]-NRT-code), using strength reduction based on linear OOA(2¹⁴¹, 75, F₂, 2, 83) (dual of [(75, 2), 9, 84]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8²², 25, F₈, 20) (dual of [25, 3, 21]-code), using
  - 3 times truncation [i] based on linear OA(8²⁵, 28, F₈, 23) (dual of [28, 3, 24]-code), using
    - Denniston code D(2,8) [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(2¹⁴⁰, 74, F₂, 2, 81) (dual of [(74, 2), 8, 82]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2¹³⁹, 74, F₂, 2, 80) (dual of [(74, 2), 9, 81]-NRT-code)	[i]
3	Linear OOA(2¹³⁸, 73, F₂, 2, 79) (dual of [(73, 2), 8, 80]-NRT-code)	[i]
4	Linear OOA(2¹³⁷, 73, F₂, 2, 78) (dual of [(73, 2), 9, 79]-NRT-code)	[i]
5	Linear OOA(2¹³⁶, 72, F₂, 2, 77) (dual of [(72, 2), 8, 78]-NRT-code)	[i]
6	Linear OOA(2¹³⁴, 71, F₂, 2, 75) (dual of [(71, 2), 8, 76]-NRT-code)	[i]
7	Linear OOA(2¹³³, 71, F₂, 2, 74) (dual of [(71, 2), 9, 75]-NRT-code)	[i]
8	Linear OOA(2¹³², 70, F₂, 2, 73) (dual of [(70, 2), 8, 74]-NRT-code)	[i]