MinT - Information on Result #912877

Information on Result #912877

Linear OOA(3²⁴², 136, F₃, 2, 143) (dual of [(136, 2), 30, 144]-NRT-code), using concatenation of two NRT-codes based on

linear OA(27²⁴, 34, F₂₇, 23) (dual of [34, 10, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(27²⁴, 38, F₂₇, 23) (dual of [38, 14, 24]-code), using
  - extended algebraic-geometric code AG_e(F,14P) [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, using
    - a function field by SÃ©mirat [i]
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		This result only	Method
1	Linear OOA(3²⁴², 136, F₃, 2, 142) (dual of [(136, 2), 30, 143]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁴², 136, F₃, 2, 141) (dual of [(136, 2), 30, 142]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(3²⁴³, 136, F₃, 2, 143) (dual of [(136, 2), 29, 144]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(3²⁴¹, 135, F₃, 2, 142) (dual of [(135, 2), 29, 143]-NRT-code)	[i]		Truncation for OOAs
5	Linear OOA(3²⁴⁰, 135, F₃, 2, 141) (dual of [(135, 2), 30, 142]-NRT-code)	[i]
6	Linear OOA(3²³⁹, 134, F₃, 2, 140) (dual of [(134, 2), 29, 141]-NRT-code)	[i]
7	Linear OOA(3²³⁸, 134, F₃, 2, 139) (dual of [(134, 2), 30, 140]-NRT-code)	[i]
8	Linear OOA(3²³⁷, 133, F₃, 2, 138) (dual of [(133, 2), 29, 139]-NRT-code)	[i]
9	Linear OOA(3²³⁶, 133, F₃, 2, 137) (dual of [(133, 2), 30, 138]-NRT-code)	[i]
10	Linear OOA(3²³⁵, 132, F₃, 2, 136) (dual of [(132, 2), 29, 137]-NRT-code)	[i]
11	Linear OOA(3²⁴², 68, F₃, 4, 143) (dual of [(68, 4), 30, 144]-NRT-code)	[i]		OOA Folding