MinT - Information on Result #910269

Information on Result #910269

Linear OOA(8¹⁴⁹, 81, F₈, 2, 122) (dual of [(81, 2), 13, 123]-NRT-code), using juxtaposition based on

linear OOA(8¹⁹, 16, F₈, 2, 17) (dual of [(16, 2), 13, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁹, 17, F₈, 2, 17) (dual of [(17, 2), 15, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₈ with g(F) = 2 and N(F) ≥ 17, using
    - a function field by SÃ©mirat [i]
linear OOA(8¹¹⁷, 65, F₈, 2, 104) (dual of [(65, 2), 13, 105]-NRT-code), using
- standard lengthening with (d₀,â€¦,d₁)Â = (103,104) [i] based on linear OOA(8¹¹⁵, 64, F₈, 2, 102) (dual of [(64, 2), 13, 103]-NRT-code), using algebraic-geometric NRT-code AG(2;F,25P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F₈ [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8¹⁴⁹, 81, F₈, 2, 121) (dual of [(81, 2), 13, 122]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(8¹⁴⁹, 81, F₈, 2, 120) (dual of [(81, 2), 13, 121]-NRT-code)	[i]		Strength Reduction for OOAs