MinT - Information on Result #2436862

Information on Result #2436862

Linear OOA(3²³⁰, 124, F₃, 2, 148) (dual of [(124, 2), 18, 149]-NRT-code), using strength reduction based on linear OOA(3²³⁰, 124, F₃, 2, 149) (dual of [(124, 2), 18, 150]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27²⁵, 31, F₂₇, 24) (dual of [31, 6, 25]-code), using
  - discarding factors / shortening the dual code based on linear OA(27²⁵, 38, F₂₇, 24) (dual of [38, 13, 25]-code), using
    - extended algebraic-geometric code AG_e(F,13P) [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, using
      - a function field by SÃ©mirat [i]
2. 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]

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(3²²⁹, 123, F₃, 2, 147) (dual of [(123, 2), 17, 148]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3²²⁸, 123, F₃, 2, 146) (dual of [(123, 2), 18, 147]-NRT-code)	[i]
3	Linear OOA(3²²⁷, 122, F₃, 2, 145) (dual of [(122, 2), 17, 146]-NRT-code)	[i]
4	Linear OOA(3²²⁶, 122, F₃, 2, 144) (dual of [(122, 2), 18, 145]-NRT-code)	[i]
5	Linear OOA(3²²⁵, 121, F₃, 2, 143) (dual of [(121, 2), 17, 144]-NRT-code)	[i]
6	Linear OOA(3²²⁴, 121, F₃, 2, 142) (dual of [(121, 2), 18, 143]-NRT-code)	[i]
7	Linear OOA(3²²³, 120, F₃, 2, 141) (dual of [(120, 2), 17, 142]-NRT-code)	[i]
8	Linear OOA(3²³⁰, 62, F₃, 4, 148) (dual of [(62, 4), 18, 149]-NRT-code)	[i]	OOA Folding