Information on Result #1724054
Digital (100, 126, 2138)-net over F5, using net defined by OOA based on linear OOA(5126, 2138, F5, 33, 26) (dual of [(2138, 33), 70428, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5126, 10691, F5, 3, 26) (dual of [(10691, 3), 31947, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5126, 10693, F5, 3, 26) (dual of [(10693, 3), 31953, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5126, 10693, F5, 26) (dual of [10693, 10567, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5126, 15649, F5, 26) (dual of [15649, 15523, 27]-code), using
- construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(20) [i] based on
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5103, 15625, F5, 22) (dual of [15625, 15522, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(54, 23, F5, 3) (dual of [23, 19, 4]-code or 23-cap in PG(3,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(5126, 15649, F5, 26) (dual of [15649, 15523, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5126, 10693, F5, 26) (dual of [10693, 10567, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(5126, 10693, F5, 3, 26) (dual of [(10693, 3), 31953, 27]-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.