MinT - Information on Result #1830899

Information on Result #1830899

OOA(32¹⁰⁶, 513, S₃₂, 2, 60), using extracting embedded OOA based on (46, 106, 513)-net in base 32, using

2 times m-reduction [i] based on (46, 108, 513)-net in base 32, using
- base change [i] based on digital (28, 90, 513)-net over F₆₄, using
  - net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
      - the Hermitian function field over F₆₄ [i]

Mode: Constructive.

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	OOA(32¹⁰⁶, 513, S₃₂, 2, 59)	[i]		Strength Reduction for OOAs
2	OOA(32¹⁰⁸, 514, S₃₂, 2, 60)	[i]		NRT-Code Embedding in Larger Space
3	OOA(32¹¹⁰, 515, S₃₂, 2, 60)	[i]		NRT-Code Embedding in Larger Space