MinT - Information on Result #2425938

Information on Result #2425938

Linear OOA(2²²⁰, 120, F₂, 2, 111) (dual of [(120, 2), 20, 112]-NRT-code), using strength reduction based on linear OOA(2²²⁰, 120, F₂, 2, 113) (dual of [(120, 2), 20, 114]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹⁹, 24, F₁₆, 18) (dual of [24, 5, 19]-code), using
  - extended algebraic-geometric code AG_e(F,5P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
2. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,4P) [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		Method
1	Linear OOA(2²²¹, 120, F₂, 2, 111) (dual of [(120, 2), 19, 112]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²¹⁹, 119, F₂, 2, 110) (dual of [(119, 2), 19, 111]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2²¹⁸, 119, F₂, 2, 109) (dual of [(119, 2), 20, 110]-NRT-code)	[i]
4	Linear OOA(2²¹⁷, 118, F₂, 2, 108) (dual of [(118, 2), 19, 109]-NRT-code)	[i]
5	Linear OOA(2²²⁰, 60, F₂, 4, 111) (dual of [(60, 4), 20, 112]-NRT-code)	[i]	OOA Folding