MinT - Information on Result #2236967

Information on Result #2236967

Linear OA(4⁷⁷, 107, F₄, 36) (dual of [107, 30, 37]-code), using 1 times truncation based on linear OA(4⁷⁸, 108, F₄, 37) (dual of [108, 30, 38]-code), using

concatenation of two codes [i] based on
1. linear OA(16²¹, 36, F₁₆, 18) (dual of [36, 15, 19]-code), using
  - discarding factors / shortening the dual code based on linear OA(16²¹, 38, F₁₆, 18) (dual of [38, 17, 19]-code), using
    - extended algebraic-geometric code AG_e(F,19P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
      - a function field by SÃ©mirat [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(4⁷⁷, 53, F₄, 2, 36) (dual of [(53, 2), 29, 37]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4⁷⁷, 35, F₄, 3, 36) (dual of [(35, 3), 28, 37]-NRT-code)	[i]		OOA Folding