MinT - Information on Result #1466844

Information on Result #1466844

Linear OOA(2²⁰⁸, 110, F₂, 2, 118) (dual of [(110, 2), 12, 119]-NRT-code), using concatenation of two NRT-codes based on

linear OA(8¹⁸, 22, F₈, 16) (dual of [22, 4, 17]-code), using
- 3 times truncation [i] based on linear OA(8²¹, 25, F₈, 19) (dual of [25, 4, 20]-code), using
  - a â€œBraâ€ code from Brouwerâ€™s database [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: 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(2²⁰⁸, 110, F₂, 2, 117) (dual of [(110, 2), 12, 118]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁰⁸, 110, F₂, 2, 116) (dual of [(110, 2), 12, 117]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2²⁰⁷, 109, F₂, 2, 117) (dual of [(109, 2), 11, 118]-NRT-code)	[i]		Truncation for OOAs
4	Linear OOA(2²⁰⁶, 109, F₂, 2, 116) (dual of [(109, 2), 12, 117]-NRT-code)	[i]
5	Linear OOA(2²⁰⁵, 108, F₂, 2, 115) (dual of [(108, 2), 11, 116]-NRT-code)	[i]
6	Linear OOA(2²⁰³, 107, F₂, 2, 113) (dual of [(107, 2), 11, 114]-NRT-code)	[i]
7	Linear OOA(2²⁰², 107, F₂, 2, 112) (dual of [(107, 2), 12, 113]-NRT-code)	[i]
8	Linear OOA(2²⁰¹, 106, F₂, 2, 111) (dual of [(106, 2), 11, 112]-NRT-code)	[i]
9	Linear OOA(2²⁰⁰, 106, F₂, 2, 110) (dual of [(106, 2), 12, 111]-NRT-code)	[i]