MinT - Information on Result #2431479

Information on Result #2431479

Linear OOA(3¹¹⁴, 60, F₃, 2, 82) (dual of [(60, 2), 6, 83]-NRT-code), using strength reduction based on linear OOA(3¹¹⁴, 60, F₃, 2, 83) (dual of [(60, 2), 6, 84]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(9¹², 15, F₉, 11) (dual of [15, 3, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(9¹², 16, F₉, 11) (dual of [16, 4, 12]-code), using
    - extended algebraic-geometric code AG_e(F,4P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
      - a function field by GarcÃa and Quoos [i]
2. linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [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(3¹¹⁴, 30, F₃, 4, 82) (dual of [(30, 4), 6, 83]-NRT-code)	[i]		OOA Folding