MinT - Information on Result #2430591

Information on Result #2430591

Linear OOA(3⁸¹, 42, F₃, 2, 64) (dual of [(42, 2), 3, 65]-NRT-code), using strength reduction based on linear OOA(3⁸¹, 42, F₃, 2, 65) (dual of [(42, 2), 3, 66]-NRT-code), using

repeating each code word 6 times [i] based on linear OOA(3¹¹, 7, F₃, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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		This result only	Method
1	Linear OOA(3⁸¹, 21, F₃, 4, 64) (dual of [(21, 4), 3, 65]-NRT-code)	[i]		OOA Folding