MinT - Information on Result #1024295

Information on Result #1024295

Linear OOA(4¹⁶⁵, 56, F₄, 3, 146) (dual of [(56, 3), 3, 147]-NRT-code), using repeating each code word 7 times based on linear OOA(4²¹, 8, F₄, 3, 20) (dual of [(8, 3), 3, 21]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4²¹, 9, F₄, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
  - the Hermitian function field over F₄ [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(4¹⁶⁵, 56, F₄, 3, 145) (dual of [(56, 3), 3, 146]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4¹⁶⁵, 56, F₄, 3, 144) (dual of [(56, 3), 3, 145]-NRT-code)	[i]
3	Linear OOA(4¹⁶⁵, 56, F₄, 3, 143) (dual of [(56, 3), 3, 144]-NRT-code)	[i]
4	Linear OOA(4¹⁶⁵, 56, F₄, 3, 142) (dual of [(56, 3), 3, 143]-NRT-code)	[i]
5	Linear OOA(4¹⁶⁵, 56, F₄, 3, 141) (dual of [(56, 3), 3, 142]-NRT-code)	[i]
6	Linear OOA(4¹⁶⁵, 56, F₄, 3, 140) (dual of [(56, 3), 3, 141]-NRT-code)	[i]