MinT - Information on Result #1028621

Information on Result #1028621

Linear OOA(2²⁴⁷, 93, F₂, 3, 131) (dual of [(93, 3), 32, 132]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16²³, 31, F₁₆, 21) (dual of [31, 8, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(16²³, 33, F₁₆, 21) (dual of [33, 10, 22]-code), using
  - extended algebraic-geometric code AG_e(F,11P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
    - a function field by SÃ©mirat [i]
linear OOA(2⁵, 3, F₂, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;4,2) [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(2²⁴⁷, 93, F₂, 3, 130) (dual of [(93, 3), 32, 131]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁴⁷, 93, F₂, 3, 129) (dual of [(93, 3), 32, 130]-NRT-code)	[i]
3	Linear OOA(2²⁴⁷, 93, F₂, 3, 128) (dual of [(93, 3), 32, 129]-NRT-code)	[i]
4	Linear OOA(2²⁴⁷, 93, F₂, 3, 127) (dual of [(93, 3), 32, 128]-NRT-code)	[i]
5	Linear OOA(2²⁴⁸, 93, F₂, 3, 131) (dual of [(93, 3), 31, 132]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2²⁴⁶, 92, F₂, 3, 130) (dual of [(92, 3), 30, 131]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(2²⁴⁵, 92, F₂, 3, 129) (dual of [(92, 3), 31, 130]-NRT-code)	[i]
8	Linear OOA(2²⁴⁴, 92, F₂, 3, 128) (dual of [(92, 3), 32, 129]-NRT-code)	[i]
9	Linear OOA(2²⁴³, 91, F₂, 3, 127) (dual of [(91, 3), 30, 128]-NRT-code)	[i]
10	Linear OOA(2²⁴², 91, F₂, 3, 126) (dual of [(91, 3), 31, 127]-NRT-code)	[i]
11	Linear OOA(2²⁴¹, 91, F₂, 3, 125) (dual of [(91, 3), 32, 126]-NRT-code)	[i]
12	Linear OOA(2²³⁹, 90, F₂, 3, 123) (dual of [(90, 3), 31, 124]-NRT-code)	[i]
13	Linear OOA(2²⁴⁷, 46, F₂, 6, 131) (dual of [(46, 6), 29, 132]-NRT-code)	[i]		OOA Folding