MinT - Information on Result #1120051

Information on Result #1120051

Linear OOA(2¹¹⁷, 26, F₂, 5, 83) (dual of [(26, 5), 13, 84]-NRT-code), using repeating each code word 2 times based on linear OOA(2⁵², 13, F₂, 5, 41) (dual of [(13, 5), 13, 42]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁵², 14, F₂, 5, 41) (dual of [(14, 5), 18, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,28P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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(2¹¹⁷, 26, F₂, 5, 82) (dual of [(26, 5), 13, 83]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹¹⁷, 26, F₂, 5, 81) (dual of [(26, 5), 13, 82]-NRT-code)	[i]
3	Linear OOA(2¹¹⁷, 26, F₂, 5, 80) (dual of [(26, 5), 13, 81]-NRT-code)	[i]
4	Linear OOA(2¹¹⁷, 26, F₂, 5, 79) (dual of [(26, 5), 13, 80]-NRT-code)	[i]