MinT - Information on Result #906424

Information on Result #906424

Linear OOA(5¹⁰⁶, 56, F₅, 2, 83) (dual of [(56, 2), 6, 84]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(5²³, 14, F₅, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5²³, 16, F₅, 2, 20) (dual of [(16, 2), 9, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
linear OOA(5²⁷, 14, F₅, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
- dual of repetition NRT-code with length 14 [i]
linear OOA(5²⁸, 14, F₅, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(5²⁸, 14, F₅, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(5¹⁰⁴, 55, F₅, 2, 81) (dual of [(55, 2), 6, 82]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(5¹⁰¹, 53, F₅, 2, 78) (dual of [(53, 2), 5, 79]-NRT-code)	[i]		Truncation for OOAs