MinT - Information on Result #2437139

Information on Result #2437139

Linear OOA(3²³⁴, 120, F₃, 2, 175) (dual of [(120, 2), 6, 176]-NRT-code), using strength reduction based on linear OOA(3²³⁴, 120, F₃, 2, 176) (dual of [(120, 2), 6, 177]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁰, 8, F₃, 2, 8) (dual of [(8, 2), 6, 9]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3²¹⁸, 112, F₃, 2, 167) (dual of [(112, 2), 6, 168]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(9²⁵, 28, F₉, 23) (dual of [28, 3, 24]-code), using
      - Hermitian unital [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(3²³⁴, 60, F₃, 4, 175) (dual of [(60, 4), 6, 176]-NRT-code)	[i]		OOA Folding