Information on Result #1727026
Digital (20, 30, 323)-net over F8, using net defined by OOA based on linear OOA(830, 323, F8, 15, 10) (dual of [(323, 15), 4815, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(830, 647, F8, 3, 10) (dual of [(647, 3), 1911, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(830, 648, F8, 3, 10) (dual of [(648, 3), 1914, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(830, 648, F8, 10) (dual of [648, 618, 11]-code), using
- 128 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 12 times 0, 1, 34 times 0, 1, 75 times 0) [i] based on linear OA(825, 515, F8, 10) (dual of [515, 490, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(825, 512, F8, 10) (dual of [512, 487, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(822, 512, F8, 9) (dual of [512, 490, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 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(9) ⊂ Ce(8) [i] based on
- 128 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 12 times 0, 1, 34 times 0, 1, 75 times 0) [i] based on linear OA(825, 515, F8, 10) (dual of [515, 490, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(830, 648, F8, 10) (dual of [648, 618, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(830, 648, F8, 3, 10) (dual of [(648, 3), 1914, 11]-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.