Information on Result #1728372
Digital (61, 83, 1167)-net over F8, using net defined by OOA based on linear OOA(883, 1167, F8, 27, 22) (dual of [(1167, 27), 31426, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(883, 4669, F8, 3, 22) (dual of [(4669, 3), 13924, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(883, 4671, F8, 3, 22) (dual of [(4671, 3), 13930, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(883, 4671, F8, 22) (dual of [4671, 4588, 23]-code), using
- 565 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 23 times 0, 1, 68 times 0, 1, 162 times 0, 1, 302 times 0) [i] based on linear OA(877, 4100, F8, 22) (dual of [4100, 4023, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(877, 4096, F8, 22) (dual of [4096, 4019, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(873, 4096, F8, 21) (dual of [4096, 4023, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- 565 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 23 times 0, 1, 68 times 0, 1, 162 times 0, 1, 302 times 0) [i] based on linear OA(877, 4100, F8, 22) (dual of [4100, 4023, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(883, 4671, F8, 22) (dual of [4671, 4588, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(883, 4671, F8, 3, 22) (dual of [(4671, 3), 13930, 23]-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.