Information on Result #1726980
Digital (28, 37, 10645)-net over F8, using net defined by OOA based on linear OOA(837, 10645, F8, 10, 9) (dual of [(10645, 10), 106413, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(837, 21291, F8, 2, 9) (dual of [(21291, 2), 42545, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(837, 21292, F8, 2, 9) (dual of [(21292, 2), 42547, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(837, 21292, F8, 9) (dual of [21292, 21255, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(837, 32774, F8, 9) (dual of [32774, 32737, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(831, 32768, F8, 7) (dual of [32768, 32737, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(81, 6, F8, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(837, 32774, F8, 9) (dual of [32774, 32737, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(837, 21292, F8, 9) (dual of [21292, 21255, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(837, 21292, F8, 2, 9) (dual of [(21292, 2), 42547, 10]-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.