Information on Result #1723688
Digital (80, 103, 1062)-net over F5, using net defined by OOA based on linear OOA(5103, 1062, F5, 27, 23) (dual of [(1062, 27), 28571, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5103, 4249, F5, 3, 23) (dual of [(4249, 3), 12644, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5103, 4252, F5, 3, 23) (dual of [(4252, 3), 12653, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5103, 4252, F5, 23) (dual of [4252, 4149, 24]-code), using
- 1110 step Varšamov–Edel lengthening with (ri) = (2, 1, 1, 0, 0, 0, 1, 10 times 0, 1, 23 times 0, 1, 48 times 0, 1, 93 times 0, 1, 155 times 0, 1, 215 times 0, 1, 260 times 0, 1, 292 times 0) [i] based on linear OA(591, 3130, F5, 23) (dual of [3130, 3039, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(591, 3125, F5, 23) (dual of [3125, 3034, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- 1110 step Varšamov–Edel lengthening with (ri) = (2, 1, 1, 0, 0, 0, 1, 10 times 0, 1, 23 times 0, 1, 48 times 0, 1, 93 times 0, 1, 155 times 0, 1, 215 times 0, 1, 260 times 0, 1, 292 times 0) [i] based on linear OA(591, 3130, F5, 23) (dual of [3130, 3039, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5103, 4252, F5, 23) (dual of [4252, 4149, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(5103, 4252, F5, 3, 23) (dual of [(4252, 3), 12653, 24]-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.