MinT - Information on Result #911235

Information on Result #911235

Linear OOA(2¹³⁵, 72, F₂, 2, 79) (dual of [(72, 2), 9, 80]-NRT-code), using concatenation of two NRT-codes based on

linear OA(8²¹, 24, F₈, 19) (dual of [24, 3, 20]-code), using
- 4 times truncation [i] based on linear OA(8²⁵, 28, F₈, 23) (dual of [28, 3, 24]-code), using
  - Denniston code D(2,8) [i]
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(2¹³⁵, 72, F₂, 2, 78) (dual of [(72, 2), 9, 79]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹³⁵, 72, F₂, 2, 77) (dual of [(72, 2), 9, 78]-NRT-code)	[i]
3	Linear OOA(2¹³⁵, 72, F₂, 2, 76) (dual of [(72, 2), 9, 77]-NRT-code)	[i]
4	Linear OOA(2¹³⁵, 72, F₂, 2, 75) (dual of [(72, 2), 9, 76]-NRT-code)	[i]
5	Linear OOA(2¹³⁶, 72, F₂, 2, 79) (dual of [(72, 2), 8, 80]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2¹³⁴, 71, F₂, 2, 78) (dual of [(71, 2), 8, 79]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(2¹³³, 71, F₂, 2, 77) (dual of [(71, 2), 9, 78]-NRT-code)	[i]
8	Linear OOA(2¹³², 70, F₂, 2, 76) (dual of [(70, 2), 8, 77]-NRT-code)	[i]
9	Linear OOA(2¹²⁸, 68, F₂, 2, 72) (dual of [(68, 2), 8, 73]-NRT-code)	[i]
10	Linear OOA(2¹²⁷, 68, F₂, 2, 71) (dual of [(68, 2), 9, 72]-NRT-code)	[i]
11	Linear OOA(2¹²⁶, 67, F₂, 2, 70) (dual of [(67, 2), 8, 71]-NRT-code)	[i]
12	Linear OOA(2¹²⁵, 67, F₂, 2, 69) (dual of [(67, 2), 9, 70]-NRT-code)	[i]
13	Linear OOA(2¹²², 65, F₂, 2, 66) (dual of [(65, 2), 8, 67]-NRT-code)	[i]
14	Linear OOA(2¹³⁵, 36, F₂, 4, 79) (dual of [(36, 4), 9, 80]-NRT-code)	[i]		OOA Folding