MinT - Information on Result #2443183

Information on Result #2443183

Linear OOA(4²⁰⁶, 110, F₄, 2, 146) (dual of [(110, 2), 14, 147]-NRT-code), using strength reduction based on linear OOA(4²⁰⁶, 110, F₄, 2, 147) (dual of [(110, 2), 14, 148]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16³⁷, 22, F₁₆, 2, 36) (dual of [(22, 2), 7, 37]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16³⁷, 24, F₁₆, 2, 36) (dual of [(24, 2), 11, 37]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
  - extended Reedâ€“Solomon code RS_e(2,4) [i]
  - Simplex code S(2,4) [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		Method
1	Linear OOA(4²⁰⁵, 109, F₄, 2, 145) (dual of [(109, 2), 13, 146]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(4²⁰⁴, 109, F₄, 2, 144) (dual of [(109, 2), 14, 145]-NRT-code)	[i]
3	Linear OOA(4²⁰³, 108, F₄, 2, 143) (dual of [(108, 2), 13, 144]-NRT-code)	[i]
4	Linear OOA(4²⁰², 108, F₄, 2, 142) (dual of [(108, 2), 14, 143]-NRT-code)	[i]
5	Linear OOA(4²⁰¹, 107, F₄, 2, 141) (dual of [(107, 2), 13, 142]-NRT-code)	[i]
6	Linear OOA(4²⁰⁰, 107, F₄, 2, 140) (dual of [(107, 2), 14, 141]-NRT-code)	[i]
7	Linear OOA(4¹⁹⁹, 106, F₄, 2, 139) (dual of [(106, 2), 13, 140]-NRT-code)	[i]
8	Linear OOA(4¹⁹⁸, 106, F₄, 2, 138) (dual of [(106, 2), 14, 139]-NRT-code)	[i]
9	Linear OOA(4¹⁹⁷, 105, F₄, 2, 137) (dual of [(105, 2), 13, 138]-NRT-code)	[i]