MinT - Information on Result #911407

Information on Result #911407

Linear OOA(2²²¹, 115, F₂, 2, 132) (dual of [(115, 2), 9, 133]-NRT-code), using concatenation of two NRT-codes based on

linear OA(8²⁰, 23, F₈, 18) (dual of [23, 3, 19]-code), using
- 5 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(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [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(2²²¹, 115, F₂, 2, 131) (dual of [(115, 2), 9, 132]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²²¹, 115, F₂, 2, 130) (dual of [(115, 2), 9, 131]-NRT-code)	[i]
3	Linear OOA(2²²¹, 115, F₂, 2, 129) (dual of [(115, 2), 9, 130]-NRT-code)	[i]
4	Linear OOA(2²²¹, 115, F₂, 2, 128) (dual of [(115, 2), 9, 129]-NRT-code)	[i]
5	Linear OOA(2²²¹, 115, F₂, 2, 127) (dual of [(115, 2), 9, 128]-NRT-code)	[i]
6	Linear OOA(2²²¹, 115, F₂, 2, 126) (dual of [(115, 2), 9, 127]-NRT-code)	[i]
7	Linear OOA(2²²¹, 115, F₂, 2, 125) (dual of [(115, 2), 9, 126]-NRT-code)	[i]
8	Linear OOA(2²²¹, 115, F₂, 2, 124) (dual of [(115, 2), 9, 125]-NRT-code)	[i]
9	Linear OOA(2²²¹, 115, F₂, 2, 123) (dual of [(115, 2), 9, 124]-NRT-code)	[i]
10	Linear OOA(2²¹⁹, 114, F₂, 2, 130) (dual of [(114, 2), 9, 131]-NRT-code)	[i]		Truncation for OOAs