MinT - Information on Result #2491750

Information on Result #2491750

Linear OOA(3¹⁸², 113, F₃, 2, 94) (dual of [(113, 2), 44, 95]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹⁸⁰, 112, F₃, 2, 94) (dual of [(112, 2), 44, 95]-NRT-code), using

strength reduction [i] based on linear OOA(3¹⁸⁰, 112, F₃, 2, 95) (dual of [(112, 2), 44, 96]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9³⁴, 28, F₉, 2, 31) (dual of [(28, 2), 22, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,24P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
      - the Hermitian function field over F₉ [i]
  2. linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
    - extended Reedâ€“Solomon code RS_e(2,3) [i]
    - Hamming code H(2,3) [i]
    - Simplex code S(2,3) [i]
    - the Tetracode [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(3¹⁸³, 113, F₃, 2, 94) (dual of [(113, 2), 43, 95]-NRT-code)	[i]		OOA Duplication