Information on Result #1723912
Digital (78, 103, 737)-net over F5, using net defined by OOA based on linear OOA(5103, 737, F5, 27, 25) (dual of [(737, 27), 19796, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5103, 2949, F5, 3, 25) (dual of [(2949, 3), 8744, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5103, 2950, F5, 3, 25) (dual of [(2950, 3), 8747, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5103, 2950, F5, 25) (dual of [2950, 2847, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5103, 3138, F5, 25) (dual of [3138, 3035, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(5102, 3137, F5, 25) (dual of [3137, 3035, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- linear OA(5101, 3126, F5, 25) (dual of [3126, 3025, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(591, 3126, F5, 23) (dual of [3126, 3035, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 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 C([0,12]) ⊂ C([0,11]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(5102, 3137, F5, 25) (dual of [3137, 3035, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5103, 3138, F5, 25) (dual of [3138, 3035, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5103, 2950, F5, 25) (dual of [2950, 2847, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(5103, 2950, F5, 3, 25) (dual of [(2950, 3), 8747, 26]-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.