MinT - Information on Result #1723161

Information on Result #1723161

Linear OOA(5⁸⁸, 1647, F₅, 21, 19) (dual of [(1647, 21), 34499, 20]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(5⁸⁸, 4942, F₅, 3, 19) (dual of [(4942, 3), 14738, 20]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(5⁸⁸, 4944, F₅, 3, 19) (dual of [(4944, 3), 14744, 20]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(5⁸⁸, 4944, F₅, 19) (dual of [4944, 4856, 20]-code), using
  - 4855 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 3, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 15 times 0, 1, 17 times 0, 1, 18 times 0, 1, 20 times 0, 1, 22 times 0, 1, 25 times 0, 1, 27 times 0, 1, 29 times 0, 1, 33 times 0, 1, 35 times 0, 1, 40 times 0, 1, 43 times 0, 1, 47 times 0, 1, 52 times 0, 1, 57 times 0, 1, 63 times 0, 1, 68 times 0, 1, 75 times 0, 1, 83 times 0, 1, 90 times 0, 1, 99 times 0, 1, 108 times 0, 1, 119 times 0, 1, 130 times 0, 1, 142 times 0, 1, 156 times 0, 1, 171 times 0, 1, 187 times 0, 1, 204 times 0, 1, 224 times 0, 1, 245 times 0, 1, 268 times 0, 1, 293 times 0, 1, 321 times 0, 1, 351 times 0, 1, 384 times 0, 1, 420 times 0) [i] based on linear OA(5¹⁹, 20, F₅, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,5)), 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 (69, 88, 1647)-net over F₅	[i]		Net Defined by OOA