MinT - Information on Result #2240514

Information on Result #2240514

Linear OA(4¹⁴⁵, 191, F₄, 70) (dual of [191, 46, 71]-code), using 1 times truncation based on linear OA(4¹⁴⁶, 192, F₄, 71) (dual of [192, 46, 72]-code), using

concatenation of two codes [i] based on
1. linear OA(16⁴¹, 64, F₁₆, 35) (dual of [64, 23, 36]-code), using
  - algebraic-geometric code AG(F,28P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [i]
2. linear OA(4¹, 3, F₄, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁴⁵, 95, F₄, 2, 70) (dual of [(95, 2), 45, 71]-NRT-code)	[i]		OOA Folding