MinT - Information on Result #2466799

Information on Result #2466799

Linear OOA(3¹⁶⁵, 116, F₃, 2, 72) (dual of [(116, 2), 67, 73]-NRT-code), using 1 step truncation based on linear OOA(3¹⁶⁶, 117, F₃, 2, 73) (dual of [(117, 2), 68, 74]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(9⁴⁴, 39, F₉, 2, 36) (dual of [(39, 2), 34, 37]-NRT-code), using
  - algebraic-geometric NRT-code AG(2;F,41P) [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40, using
    - a function field by SÃ©mirat [i]
2. linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 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(3¹⁶⁵, 58, F₃, 4, 72) (dual of [(58, 4), 67, 73]-NRT-code)	[i]		OOA Folding