MinT - Information on Result #2774890

Information on Result #2774890

Linear OOA(3²¹³, 56, F₃, 4, 172) (dual of [(56, 4), 11, 173]-NRT-code), using strength reduction based on linear OOA(3²¹³, 56, F₃, 4, 173) (dual of [(56, 4), 11, 174]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(3¹⁰¹, 28, F₃, 4, 86) (dual of [(28, 4), 11, 87]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,25P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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(3²¹⁷, 57, F₃, 4, 172) (dual of [(57, 4), 11, 173]-NRT-code)	[i]		NRT-Code Embedding in Larger Space