MinT - Information on Result #1448037

Information on Result #1448037

Linear OOA(8¹⁶¹, 3279, F₈, 2, 48) (dual of [(3279, 2), 6397, 49]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(8¹⁶¹, 3279, F₈, 48) (dual of [3279, 3118, 49]-code), using

3117 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (8, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 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, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 5 times 0, 1, 7 times 0, 1, 6 times 0, 1, 7 times 0, 1, 8 times 0, 1, 8 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 12 times 0, 1, 13 times 0, 1, 13 times 0, 1, 14 times 0, 1, 15 times 0, 1, 16 times 0, 1, 16 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 20 times 0, 1, 21 times 0, 1, 22 times 0, 1, 23 times 0, 1, 24 times 0, 1, 26 times 0, 1, 27 times 0, 1, 28 times 0, 1, 29 times 0, 1, 31 times 0, 1, 32 times 0, 1, 33 times 0, 1, 36 times 0, 1, 37 times 0, 1, 39 times 0, 1, 40 times 0, 1, 43 times 0, 1, 44 times 0, 1, 47 times 0, 1, 49 times 0, 1, 51 times 0, 1, 54 times 0, 1, 56 times 0, 1, 59 times 0, 1, 61 times 0, 1, 65 times 0, 1, 67 times 0, 1, 71 times 0, 1, 74 times 0, 1, 77 times 0, 1, 81 times 0, 1, 84 times 0, 1, 89 times 0, 1, 92 times 0, 1, 97 times 0, 1, 102 times 0, 1, 106 times 0, 1, 111 times 0, 1, 116 times 0, 1, 121 times 0, 1, 127 times 0, 1, 133 times 0, 1, 139 times 0) [i] based on linear OA(8⁴⁸, 49, F₈, 48) (dual of [49, 1, 49]-code or 49-arc in PG(47,8)), using
- dual of repetition code with length 49 [i]

Mode: Linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(8¹⁶¹, 1639, F₈, 3, 48) (dual of [(1639, 3), 4756, 49]-NRT-code)	[i]		OOA Folding