MinT - Information on Result #2491810

Information on Result #2491810

Linear OOA(3²⁴⁸, 193, F₃, 2, 96) (dual of [(193, 2), 138, 97]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²⁴⁶, 192, F₃, 2, 96) (dual of [(192, 2), 138, 97]-NRT-code), using

strength reduction [i] based on linear OOA(3²⁴⁶, 192, F₃, 2, 97) (dual of [(192, 2), 138, 98]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(27⁵⁰, 48, F₂₇, 2, 48) (dual of [(48, 2), 46, 49]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,47P) [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, using
      - a function field by GarcÃa and Quoos [i]
  2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [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(3²⁴⁹, 193, F₃, 2, 96) (dual of [(193, 2), 137, 97]-NRT-code)	[i]		OOA Duplication