Information on Result #1722174
Digital (27, 39, 253)-net over F5, using net defined by OOA based on linear OOA(539, 253, F5, 15, 12) (dual of [(253, 15), 3756, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(539, 507, F5, 3, 12) (dual of [(507, 3), 1482, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(539, 507, F5, 12) (dual of [507, 468, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(539, 632, F5, 12) (dual of [632, 593, 13]-code), using
- construction XX applied to Ce(11) ⊂ Ce(10) ⊂ Ce(8) [i] based on
- linear OA(537, 625, F5, 12) (dual of [625, 588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(533, 625, F5, 11) (dual of [625, 592, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(529, 625, F5, 9) (dual of [625, 596, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to Ce(11) ⊂ Ce(10) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(539, 632, F5, 12) (dual of [632, 593, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(539, 507, F5, 12) (dual of [507, 468, 13]-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.