MinT - Information on Result #908061

Information on Result #908061

Linear OOA(5¹⁴⁷, 75, F₅, 2, 124) (dual of [(75, 2), 3, 125]-NRT-code), using repeating each code word 5 times based on linear OOA(5²⁷, 15, F₅, 2, 24) (dual of [(15, 2), 3, 25]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(5²⁷, 16, F₅, 2, 24) (dual of [(16, 2), 5, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, 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(5¹⁴⁷, 75, F₅, 2, 123) (dual of [(75, 2), 3, 124]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(5¹⁴⁷, 75, F₅, 2, 122) (dual of [(75, 2), 3, 123]-NRT-code)	[i]
3	Linear OOA(5¹⁴⁷, 75, F₅, 2, 121) (dual of [(75, 2), 3, 122]-NRT-code)	[i]
4	Linear OOA(5¹⁴⁷, 75, F₅, 2, 120) (dual of [(75, 2), 3, 121]-NRT-code)	[i]