MinT - Information on Result #2431573

Information on Result #2431573

Linear OOA(3¹¹⁷, 60, F₃, 2, 91) (dual of [(60, 2), 3, 92]-NRT-code), using strength reduction based on linear OOA(3¹¹⁷, 60, F₃, 2, 93) (dual of [(60, 2), 3, 94]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵, 4, F₃, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,3) [i]
2. linear OOA(3¹⁰⁹, 56, F₃, 2, 87) (dual of [(56, 2), 3, 88]-NRT-code), using
  - repeating each code word 8 times [i] based on linear OOA(3¹¹, 7, F₃, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [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(3¹¹⁷, 30, F₃, 4, 91) (dual of [(30, 4), 3, 92]-NRT-code)	[i]		OOA Folding