MinT - Information on Result #1028912

Information on Result #1028912

Linear OOA(2²⁶⁰, 105, F₂, 3, 119) (dual of [(105, 3), 55, 120]-NRT-code), using concatenation of two NRT-codes based on

linear OA(32²⁴, 35, F₃₂, 23) (dual of [35, 11, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(32²⁴, 43, F₃₂, 23) (dual of [43, 19, 24]-code), using
  - algebraic-geometric code AG(F,19P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, using
    - a function field by SÃ©mirat [i]
linear OOA(2⁴, 3, F₂, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;5,2) [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(2²⁶⁰, 105, F₂, 3, 118) (dual of [(105, 3), 55, 119]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁶⁰, 105, F₂, 3, 117) (dual of [(105, 3), 55, 118]-NRT-code)	[i]
3	Linear OOA(2²⁶⁰, 105, F₂, 3, 116) (dual of [(105, 3), 55, 117]-NRT-code)	[i]
4	Linear OOA(2²⁵⁹, 104, F₂, 3, 118) (dual of [(104, 3), 53, 119]-NRT-code)	[i]		Truncation for OOAs
5	Linear OOA(2²⁵⁸, 104, F₂, 3, 117) (dual of [(104, 3), 54, 118]-NRT-code)	[i]
6	Linear OOA(2²⁵⁷, 104, F₂, 3, 116) (dual of [(104, 3), 55, 117]-NRT-code)	[i]
7	Linear OOA(2²⁵⁶, 103, F₂, 3, 115) (dual of [(103, 3), 53, 116]-NRT-code)	[i]
8	Linear OOA(2²⁶⁰, 52, F₂, 6, 119) (dual of [(52, 6), 52, 120]-NRT-code)	[i]		OOA Folding