Information on Result #1728612
Digital (111, 134, 131073)-net over F8, using net defined by OOA based on linear OOA(8134, 131073, F8, 27, 23) (dual of [(131073, 27), 3538837, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8134, 524293, F8, 3, 23) (dual of [(524293, 3), 1572745, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8134, 524294, F8, 3, 23) (dual of [(524294, 3), 1572748, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8134, 524294, F8, 23) (dual of [524294, 524160, 24]-code), using
- trace code [i] based on linear OA(6467, 262147, F64, 23) (dual of [262147, 262080, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(6467, 262144, F64, 23) (dual of [262144, 262077, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- trace code [i] based on linear OA(6467, 262147, F64, 23) (dual of [262147, 262080, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8134, 524294, F8, 23) (dual of [524294, 524160, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(8134, 524294, F8, 3, 23) (dual of [(524294, 3), 1572748, 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.