Information on Result #1721660
Digital (9, 15, 131)-net over F5, using net defined by OOA based on linear OOA(515, 131, F5, 9, 6) (dual of [(131, 9), 1164, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(515, 132, F5, 3, 6) (dual of [(132, 3), 381, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(515, 132, F5, 6) (dual of [132, 117, 7]-code), using
- 2 step Varšamov–Edel lengthening with (ri) = (1, 0) [i] based on linear OA(514, 129, F5, 6) (dual of [129, 115, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(513, 125, F5, 6) (dual of [125, 112, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(510, 125, F5, 4) (dual of [125, 115, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- 2 step Varšamov–Edel lengthening with (ri) = (1, 0) [i] based on linear OA(514, 129, F5, 6) (dual of [129, 115, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(515, 132, F5, 6) (dual of [132, 117, 7]-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.