MinT - Information on Result #1727949

Information on Result #1727949

Linear OOA(8⁶³, 523, F₈, 21, 19) (dual of [(523, 21), 10920, 20]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(8⁶³, 1570, F₈, 3, 19) (dual of [(1570, 3), 4647, 20]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8⁶³, 1572, F₈, 3, 19) (dual of [(1572, 3), 4653, 20]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(8⁶³, 1572, F₈, 19) (dual of [1572, 1509, 20]-code), using
  - 1508 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (3, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 7 times 0, 1, 7 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 13 times 0, 1, 15 times 0, 1, 17 times 0, 1, 19 times 0, 1, 22 times 0, 1, 25 times 0, 1, 28 times 0, 1, 32 times 0, 1, 36 times 0, 1, 41 times 0, 1, 46 times 0, 1, 51 times 0, 1, 58 times 0, 1, 66 times 0, 1, 74 times 0, 1, 83 times 0, 1, 94 times 0, 1, 105 times 0, 1, 119 times 0, 1, 133 times 0, 1, 150 times 0, 1, 169 times 0) [i] based on linear OA(8¹⁹, 20, F₈, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,8)), using
    - dual of repetition code with length 20 [i]

Mode: Linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (44, 63, 523)-net over F₈	[i]		Net Defined by OOA