MinT - Information on Result #912876

Information on Result #912876

Linear OOA(3²⁴⁷, 140, F₃, 2, 143) (dual of [(140, 2), 33, 144]-NRT-code), using concatenation of two NRT-codes based on

linear OA(27²⁴, 35, F₂₇, 23) (dual of [35, 11, 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.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(3²⁴⁷, 140, F₃, 2, 142) (dual of [(140, 2), 33, 143]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁴⁷, 140, F₃, 2, 141) (dual of [(140, 2), 33, 142]-NRT-code)	[i]
3	Linear OOA(3²⁴⁷, 140, F₃, 2, 140) (dual of [(140, 2), 33, 141]-NRT-code)	[i]
4	Linear OOA(3²⁴⁷, 140, F₃, 2, 139) (dual of [(140, 2), 33, 140]-NRT-code)	[i]
5	Linear OOA(3²⁴⁷, 140, F₃, 2, 138) (dual of [(140, 2), 33, 139]-NRT-code)	[i]
6	Linear OOA(3²⁴⁹, 141, F₃, 2, 143) (dual of [(141, 2), 33, 144]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
7	Linear OOA(3²⁴⁸, 140, F₃, 2, 143) (dual of [(140, 2), 32, 144]-NRT-code)	[i]	OOA Duplication
8	Linear OOA(3²⁴⁶, 139, F₃, 2, 142) (dual of [(139, 2), 32, 143]-NRT-code)	[i]	Truncation for OOAs
9	Linear OOA(3²⁴⁵, 139, F₃, 2, 141) (dual of [(139, 2), 33, 142]-NRT-code)	[i]
10	Linear OOA(3²⁴⁴, 138, F₃, 2, 140) (dual of [(138, 2), 32, 141]-NRT-code)	[i]
11	Linear OOA(3²⁴³, 138, F₃, 2, 139) (dual of [(138, 2), 33, 140]-NRT-code)	[i]
12	Linear OOA(3²⁴², 137, F₃, 2, 138) (dual of [(137, 2), 32, 139]-NRT-code)	[i]
13	Linear OOA(3²⁴¹, 137, F₃, 2, 137) (dual of [(137, 2), 33, 138]-NRT-code)	[i]
14	Linear OOA(3²⁴⁷, 70, F₃, 4, 143) (dual of [(70, 4), 33, 144]-NRT-code)	[i]	OOA Folding