Information on Result #1737592
Digital (57, 85, 2060)-net over F25, using net defined by OOA based on linear OOA(2585, 2060, F25, 30, 28) (dual of [(2060, 30), 61715, 29]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(2585, 14421, F25, 2, 28) (dual of [(14421, 2), 28757, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2585, 14425, F25, 2, 28) (dual of [(14425, 2), 28765, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2585, 14425, F25, 28) (dual of [14425, 14340, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2585, 15649, F25, 28) (dual of [15649, 15564, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- linear OA(2579, 15625, F25, 28) (dual of [15625, 15546, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2561, 15625, F25, 21) (dual of [15625, 15564, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(256, 24, F25, 6) (dual of [24, 18, 7]-code or 24-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- construction X applied to Ce(27) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(2585, 15649, F25, 28) (dual of [15649, 15564, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2585, 14425, F25, 28) (dual of [14425, 14340, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(2585, 14425, F25, 2, 28) (dual of [(14425, 2), 28765, 29]-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.