Information on Result #1722684
Digital (42, 58, 274)-net over F5, using net defined by OOA based on linear OOA(558, 274, F5, 21, 16) (dual of [(274, 21), 5696, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(558, 823, F5, 3, 16) (dual of [(823, 3), 2411, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(558, 824, F5, 3, 16) (dual of [(824, 3), 2414, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(558, 824, F5, 16) (dual of [824, 766, 17]-code), using
- 190 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 17 times 0, 1, 33 times 0, 1, 51 times 0, 1, 70 times 0) [i] based on linear OA(549, 625, F5, 16) (dual of [625, 576, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 190 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 17 times 0, 1, 33 times 0, 1, 51 times 0, 1, 70 times 0) [i] based on linear OA(549, 625, F5, 16) (dual of [625, 576, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(558, 824, F5, 16) (dual of [824, 766, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(558, 824, F5, 3, 16) (dual of [(824, 3), 2414, 17]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.