MinT - Information on Result #1726401

Information on Result #1726401

Linear OOA(7⁷⁹, 316, F₇, 27, 24) (dual of [(316, 27), 8453, 25]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(7⁷⁹, 1265, F₇, 3, 24) (dual of [(1265, 3), 3716, 25]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(7⁷⁹, 1268, F₇, 3, 24) (dual of [(1268, 3), 3725, 25]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(7⁷⁹, 1268, F₇, 24) (dual of [1268, 1189, 25]-code), using
  - 1188 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 3, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 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, 7 times 0, 1, 8 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 13 times 0, 1, 14 times 0, 1, 15 times 0, 1, 17 times 0, 1, 18 times 0, 1, 20 times 0, 1, 23 times 0, 1, 24 times 0, 1, 27 times 0, 1, 29 times 0, 1, 32 times 0, 1, 35 times 0, 1, 38 times 0, 1, 42 times 0, 1, 45 times 0, 1, 50 times 0, 1, 54 times 0, 1, 60 times 0, 1, 64 times 0, 1, 71 times 0, 1, 77 times 0, 1, 84 times 0, 1, 92 times 0, 1, 100 times 0) [i] based on linear OA(7²⁴, 25, F₇, 24) (dual of [25, 1, 25]-code or 25-arc in PG(23,7)), using
    - dual of repetition code with length 25 [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 (55, 79, 316)-net over F₇	[i]		Net Defined by OOA