MinT - Information on Result #636017

Information on Result #636017

Linear OA(4¹⁸⁶, 276, F₄, 77) (dual of [276, 90, 78]-code), using concatenation of two codes based on

linear OA(64³⁹, 69, F₆₄, 38) (dual of [69, 30, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(64³⁹, 79, F₆₄, 38) (dual of [79, 40, 39]-code), using
  - algebraic-geometric code AG(F,40P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
    - a function field by SÃ©mirat [i]
linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 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.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁸⁶, 138, F₄, 2, 77) (dual of [(138, 2), 90, 78]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁸⁶, 92, F₄, 3, 77) (dual of [(92, 3), 90, 78]-NRT-code)	[i]		OOA Folding