Information on Result #1730988
Digital (21, 32, 391)-net over F9, using net defined by OOA based on linear OOA(932, 391, F9, 15, 11) (dual of [(391, 15), 5833, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(932, 783, F9, 3, 11) (dual of [(783, 3), 2317, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(932, 784, F9, 3, 11) (dual of [(784, 3), 2320, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(932, 784, F9, 11) (dual of [784, 752, 12]-code), using
- 48 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 11 times 0, 1, 32 times 0) [i] based on linear OA(928, 732, F9, 11) (dual of [732, 704, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(928, 729, F9, 11) (dual of [729, 701, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(925, 729, F9, 10) (dual of [729, 704, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- 48 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 11 times 0, 1, 32 times 0) [i] based on linear OA(928, 732, F9, 11) (dual of [732, 704, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(932, 784, F9, 11) (dual of [784, 752, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(932, 784, F9, 3, 11) (dual of [(784, 3), 2320, 12]-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.