MinT - Information on Result #2529034

Information on Result #2529034

Linear OOA(2²²⁸, 120, F₂, 2, 131) (dual of [(120, 2), 12, 132]-NRT-code), using strength reduction based on linear OOA(2²²⁸, 120, F₂, 2, 132) (dual of [(120, 2), 12, 133]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8²⁰, 24, F₈, 18) (dual of [24, 4, 19]-code), using
  - 1 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]
2. 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		Method
1	Linear OOA(2²²⁹, 120, F₂, 2, 131) (dual of [(120, 2), 11, 132]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²²⁷, 119, F₂, 2, 130) (dual of [(119, 2), 11, 131]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2²²⁶, 119, F₂, 2, 129) (dual of [(119, 2), 12, 130]-NRT-code)	[i]
4	Linear OOA(2²²⁵, 118, F₂, 2, 128) (dual of [(118, 2), 11, 129]-NRT-code)	[i]
5	Linear OOA(2²²⁴, 118, F₂, 2, 127) (dual of [(118, 2), 12, 128]-NRT-code)	[i]
6	Linear OOA(2²²³, 117, F₂, 2, 126) (dual of [(117, 2), 11, 127]-NRT-code)	[i]
7	Linear OOA(2²²¹, 116, F₂, 2, 124) (dual of [(116, 2), 11, 125]-NRT-code)	[i]
8	Linear OOA(2²²⁰, 116, F₂, 2, 123) (dual of [(116, 2), 12, 124]-NRT-code)	[i]
9	Linear OOA(2²¹⁹, 115, F₂, 2, 122) (dual of [(115, 2), 11, 123]-NRT-code)	[i]
10	Linear OOA(2²¹⁷, 114, F₂, 2, 120) (dual of [(114, 2), 11, 121]-NRT-code)	[i]